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- 10:39, 5 June 2017 (diff | hist) . . (+900) . . N Digraph (Created page with ":: '''Short for: ''Directed graph''''' {{Stub page|grade=B|msg=Demote once terminology has been added}} __TOC__ {{Infobox|title=Digraph|image=File:TypicalDigraph.png|thumb|T...")
- 10:22, 5 June 2017 (diff | hist) . . (+152) . . N File:TypicalDigraph.png (Created with graphviz dot from: digraph G { rankdir="LR"; A -> B; B -> C; C -> A; C -> D; D -> B; C -> B [constraint=false]; X -> A; D -> D; }) (current)
- 10:18, 5 June 2017 (diff | hist) . . (+1,954) . . N Graph (graph theory) (Adding a poor graph page)
- 09:55, 5 June 2017 (diff | hist) . . (+109) . . N File:DiscreteMathsGraphPicture.png (Generated from: graph g { rankdir="LR"; X -- A; A -- B; B -- Z; B -- C; C -- A; Y -- C; Z -- A; }) (current)
- 22:35, 4 June 2017 (diff | hist) . . (+650) . . N Graph (Created page with "{{Disambiguation}} * Graph (discrete mathematics) - the kind of graph with nodes and edges ** Digraph * Graph (function) - for a function, {{M|f:X\rightarrow Y...") (current)
- 17:56, 28 May 2017 (diff | hist) . . (+65) . . N Standard conventions (Redirected page to Doctrine:Standard conventions) (current)
- 15:06, 19 May 2017 (diff | hist) . . (+690) . . N List of common homology groups (Created page with "__TOC__ ==Surface-like== {| class="wikitable" border="1" |- ! colspan="2" | Space ! Homology groups ! {{M|\Delta}}-complex ! Components ! Comment |- ! 2-sphere|{{M|\mathbb{S...") (current)
- 13:58, 12 May 2017 (diff | hist) . . (+802) . . N The diagonal (set) (Created page with "__TOC__ ==Definition== Let {{M|X}} be a set and let {{M|X\times X}} denote the 2-fold Cartesian product of {{M|X}} with itself, we call the following set the ''diagona...") (current)
- 13:56, 12 May 2017 (diff | hist) . . (+267) . . N Books:Homology Theory - James W. Vick (Created page with "==Alec's progress== {| class="wikitable" border="1" |- ! colspan="2" | Book progress |- |<book>0879f641ac89504833b6d32b9545be9d</book> | Key * Blue boxes are unread pages * Gr...") (current)
- 13:50, 12 May 2017 (diff | hist) . . (+656) . . N Template:RHTJWV (Created page with "<noinclude> ==Purpose== This template adds a reference to the book: * Homology Theory - James W. Vick With the name: * HTJWV - an abb...") (current)
- 21:47, 9 May 2017 (diff | hist) . . (+1,981) . . N Notes:Possible error 2016 compiler design q2b (Created page with "__TOC__ ==Question== File:Cs3250-2016-with-solutions.pdf - question 2 part b - which can be found on the front page ==Examiner's answer== The same as mine, but with a tran...") (current)
- 21:33, 9 May 2017 (diff | hist) . . (0) . . N File:Cs3250-2016-with-solutions.pdf (current)
- 20:25, 27 April 2017 (diff | hist) . . (+29) . . N File:Notcomplete.pdf (Richard Sharp emailed me this) (current)
- 18:10, 25 April 2017 (diff | hist) . . (+92) . . m Discrete metric and topology (Added related theorem) (current)
- 14:51, 25 April 2017 (diff | hist) . . (+2,533) . . N Square lemma (of homotopic paths) (Created page with "__TOC__ ==Statement== Let {{M|F:[0,1]\times[0,1]\rightarrow X}} be a continuous map (note this is sufficient to make it a homotopy, specifically a path homotopy -...") (current)
- 14:31, 25 April 2017 (diff | hist) . . (+109) . . N End point preserving homotopic (Redirected page to End-point-preserving homotopic paths) (current)
- 14:31, 25 April 2017 (diff | hist) . . (+750) . . N End-point-preserving homotopic paths (Created page with "{{Stub page|grade=D|msg=Not important, terminology is from Mond's 2013 lecture notes. Some authors use path homotopy but we reserve this for map homotopy where the map...") (current)
- 14:26, 25 April 2017 (diff | hist) . . (+109) . . N End-point-preseriving homotopic (Redirected page to End-point-preserving homotopic paths) (current)
- 21:13, 24 April 2017 (diff | hist) . . (+3,348) . . N Homotopy equivalent topological spaces (Created page with "{{Stub page|grade=A|msg=Proper stub, could use some more references regarding terminology}} __TOC__ ==Definition== Let {{Top.|X|J}} and {{Top.|Y|K}} be topological spaces,...") (current)
- 21:12, 24 April 2017 (diff | hist) . . (+94) . . N Fundamental groups (Redirected page to The fundamental group) (current)
- 20:03, 24 April 2017 (diff | hist) . . (+111) . . N Homotopy equivalent topological space (Redirected page to Homotopy equivalent topological spaces) (current)
- 20:02, 24 April 2017 (diff | hist) . . (+157) . . N Homotopy of maps is an equivalence relation (Redirected page to Homotopy is an equivalence relation on the set of all continuous maps between spaces) (current)
- 20:00, 24 April 2017 (diff | hist) . . (+3,185) . . N Contractible topological space (Created page with ":: '''''Not to be confused with: ''' simply-connected topological space'' __TOC__ ==Definition== Let {{Top.|X|J}} be a topological space. We say {{M|X}} is a ''contrac...") (current)
- 16:10, 24 April 2017 (diff | hist) . . (+76) . . m Simply connected topological space (Adding note about contractible spaces) (current)
- 15:27, 24 April 2017 (diff | hist) . . (+3,586) . . N Simply connected topological space (Created page with "__TOC__ ==Definition== Let {{Top.|X|J}} be a topological space, we say {{M|X}} is ''simply connected'' if{{rITTMJML}}: * {{M|X}} is a path-connected topological space,...")
- 18:15, 23 April 2017 (diff | hist) . . (+843) . . m C( )0,1( ,R) is not complete when considered with the L^1 norm (Saving work, some tex I'd miss) (current)
- 16:38, 23 April 2017 (diff | hist) . . (+2,427) . . N Experiment:The wx wrapping function (Created page with "==Set up== - STUB - ~~~~ * See ''wxGraph'' project folder, and {{C|wxStaticWrappedText}} (my class, not a {{C|wx}} class) ** during an {{C|EVT_SIZE}} we copy some stored {{C|w...") (current)
- 10:32, 22 April 2017 (diff | hist) . . (+1,073) . . N Example:The Möbius band strongly deformation retracts onto its core circle (Created page with "__TOC__ ==Example== Let {{M|(M,\mathcal{M})}} be the topological space of the Möbius band<ref group="Note">Considered as a quotient of {{M|\frac...") (current)
- 10:20, 22 April 2017 (diff | hist) . . (+148) . . N Example:The Mobius band strongly deformation retracts onto its core circle (Redirected page to Example:The Möbius band strongly deformation retracts onto its core circle) (current)
- 12:01, 19 April 2017 (diff | hist) . . (+1,148) . . N C( )0,1( ,R) is not complete when considered with the L^1 norm (Saving work)
- 06:45, 19 April 2017 (diff | hist) . . (+150) . . N File:LoringManifoldsBook.pdf (Needed for my course, source: http://im0.p.lodz.pl/~kubarski/AnalizaIV/Wyklady/L-Tu-1441973990.pdf Please don't abuse this, uploading to link to page) (current)
- 08:30, 17 April 2017 (diff | hist) . . (-2,065) . . m Monotone convergence theorem for non-negative numerical measurable functions (Moved statement into own page) (current)
- 08:29, 17 April 2017 (diff | hist) . . (+72) . . N Measurable functions (Redirected page to Measurable function) (current)
- 08:29, 17 April 2017 (diff | hist) . . (+2,411) . . N Monotone convergence theorem for non-negative numerical measurable functions/Statement (Splitting out statement into own page) (current)
- 08:26, 17 April 2017 (diff | hist) . . (+2,579) . . N Monotone convergence theorem for non-negative numerical measurable functions (Created page with "{{Provisional page|grade=A*|msg=Books disagree here, the version here may have a bias towards what I will be examined on}} __TOC__ ==Statement== Let {{M|(X,\mat...")
- 19:41, 14 April 2017 (diff | hist) . . (+3,432) . . N Monotonicity of the integral of non-negative extended-real-valued measurable functions with respect to a measure (Created page with "{{Stub page|grade=A*|msg=Stub, needs review, linking to from other pages, a bit of a measure-theory shuffle}} __TOC__ ==Statement== Let {{M|(X,\mathcal{A},\mu)}} be a measur...") (current)
- 19:18, 14 April 2017 (diff | hist) . . (+257) . . m Integral of a positive function (measure theory) (added note about terminology, there are some problems here) (current)
- 16:58, 10 April 2017 (diff | hist) . . (+3,982) . . N Notes:Geometry of curves and surfaces (Saving work) (current)
- 05:46, 10 April 2017 (diff | hist) . . (+2,317) . . N Square root (real function) (Created page with "{{Stub page|grade=C|msg=Made this page to prove smoothness really ~~~~}} : '''Note: ''' For other uses of square root see ''square root (disambiguation)'' -...") (current)
- 05:22, 10 April 2017 (diff | hist) . . (+858) . . N Square root (Created page with "{{Stub page|grade=A|msg=Complex viewpoint would be good, maybe a numerical one for approximating maybe?}} {{Disambiguation}} * Square root (real function) - a map, {{M...") (current)
- 20:59, 9 April 2017 (diff | hist) . . (+3,776) . . N The norm of a space is a uniformly continuous map with respect to the topology it induces (Created page with "{{Stub page|grade=C|msg=Check over before removing this, ensure it's linked to, maybe add "uniform continuity => continuity" somewhere if that's true (not seen uniform continu...") (current)
- 20:33, 9 April 2017 (diff | hist) . . (+193) . . m Norm (Adding uniform continuity property) (current)
- 20:28, 9 April 2017 (diff | hist) . . (+1,017) . . N Distance from a point to a set (Created page with "__TOC__ ==Definition== Let {{M|(X,d)}} be a metric space and let {{M|A\in\mathcal{P}(X)}} be given. For any point {{M|x\in X}} we define the ''distance between {{M|x}} and...") (current)
- 20:27, 9 April 2017 (diff | hist) . . (+112) . . N Uniformly continuous (Redirected page to Uniform continuity) (current)
- 21:14, 8 April 2017 (diff | hist) . . (+998) . . N Uniform continuity (Saving work) (current)
- 04:11, 8 April 2017 (diff | hist) . . (+685) . . N Orthogonal vectors (Created page with "{{Stub page|grade=B|msg=Proper stub ~~~~}} __TOC__ ==Definition== Let {{M|((X,}}\mathbb{K} }}{{M|),\langle\cdot,\cdot\rangle)}} be an inner-product space...") (current)
- 04:07, 8 April 2017 (diff | hist) . . (+1,683) . . N Orthogonal complement (Saving work) (current)
- 04:07, 8 April 2017 (diff | hist) . . (+3,527) . . N For any vector subspace of a Hilbert space the orthogonal complement and the closure of that subspace form a direct sum of the entire space (Saving work) (current)
- 03:54, 8 April 2017 (diff | hist) . . (+1,873) . . N K (field) (Created page with "{{DISPLAYTITLE:{{M|\mathbb{K} }} (field)}}{{Stub page|grade=D|msg=Created to define what {{M|\mathbb{K} }} means when encountered as a field (eg if {{M|(X,\mathbb{K})}} is...") (current)
- 23:40, 7 April 2017 (diff | hist) . . (+1,188) . . N If an inner product is non-zero then both arguments are non-zero (Created page with "{{Stub page|grade=B|msg=Review and demote}} __TOC__ ==Statement== Let {{M|((X,}}\mathbb{K} }}{{M|),\langle\cdot,\cdot\rangle)}} be an inner product space...") (current)
- 02:48, 7 April 2017 (diff | hist) . . (+1,036) . . N The closure of a linear subspace of a normed space is a linear subspace (Created page with "__TOC__ ==Statement== Let {{M|((X,}}\mathbb{K} }}{{M|),\Vert\cdot\Vert)}} be a normed space and let {{M|L\in\mathcal{P}(X)}} be a vector subspace of...") (current)
- 00:52, 7 April 2017 (diff | hist) . . (+3,398) . . N Given a Hilbert space and a non-empty, closed and convex subset then for each point in the space there is a closest point in the subset (Created page with "__TOC__ ==Statement== Let {{M|(X,\langle\cdot,\cdot\rangle)}} be a Hilbert space<ref group="Note">Recall: * A Hilbert space is an inner product space, {{M|(X,\langle\c...") (current)
- 00:47, 7 April 2017 (diff | hist) . . (0) . . N File:ClosedConvexSubsetNonEmptyInHilbertSpaceProofThing.jpg (current)
- 15:28, 5 April 2017 (diff | hist) . . (+326) . . m Axiom schema of replacement (Just added version without underbraces) (current)
- 13:04, 4 April 2017 (diff | hist) . . (+288) . . m Cauchy-Schwarz inequality (Adding note to more general form) (current)
- 13:00, 4 April 2017 (diff | hist) . . (+6,481) . . N Cauchy-Schwarz inequality for inner product spaces (Saving work) (current)
- 13:25, 2 April 2017 (diff | hist) . . (+4,265) . . N Example:Smooth map between the real line and the circle (considered as smooth manifolds) (Created page with ": {{Note|This work is done in the context of the book ''{{link|An Introduction to Manifolds - Loring W. Tu|ns=books}}''}} __TOC__ ==Example== Let real line|{{M|\mathbb{R} }}...") (current)
- 13:38, 1 April 2017 (diff | hist) . . (+6,564) . . N If two charts are smoothly compatible with an atlas then they are smothly compatible with each other (Saving work, nearly there, skeleton is there certainly.) (current)
- 13:38, 1 April 2017 (diff | hist) . . (+267) . . N Books:An Introduction to Manifolds - Loring W. Tu (Created page with "==Alec's progress== {| class="wikitable" border="1" |- ! colspan="2" | Book progress |- |<book>7e5261f2141653af8bed20e15d84336d</book> | Key * Blue boxes are unread pages * Gr...") (current)
- 13:37, 1 April 2017 (diff | hist) . . (+696) . . N Template:RAITMLWT (Created page with "<noinclude> ==Purpose== This template adds a reference to the book: * An Introduction to Manifolds - Loring W. Tu With th...") (current)
- 23:00, 31 March 2017 (diff | hist) . . (+2,035) . . m User:Alec/Manifolds pages (current)
- 22:58, 31 March 2017 (diff | hist) . . (+10) . . User:Alec/Manifolds pages (again)
- 22:57, 31 March 2017 (diff | hist) . . (+26) . . User:Alec/Manifolds pages (Totally messed up what I was trying to do)
- 22:56, 31 March 2017 (diff | hist) . . (+11) . . N User:Alec/Manifolds pages (Created page with "{{:Source}}")
- 22:50, 31 March 2017 (diff | hist) . . (+26) . . m User:Alec
- 21:36, 24 March 2017 (diff | hist) . . (+171) . . N Template:CM (Created page with "<noinclude> Code-Maths template, eg {{C|{{M|\LaTeX}}}} - using Template:C with a Template:M inside of it</noinclude><includeonly>{{C|{{M|{{{1|}}}}}}}</includeonly>") (current)
- 21:31, 24 March 2017 (diff | hist) . . (+38) . . N User:Alec/Labook (Created page with "* /Hash investigation - March 2017") (current)
- 20:20, 21 March 2017 (diff | hist) . . (0) . . N File:FaIILecNotesPostPrintingSoThereAreChanges.pdf (current)
- 21:38, 19 March 2017 (diff | hist) . . (0) . . N File:UsefulVisualisationOfEigenvectors.gif (current)
- 21:34, 19 March 2017 (diff | hist) . . (0) . . N File:SomethingOfDescartes.gif (current)
- 00:43, 19 March 2017 (diff | hist) . . (+30) . . N Category:Provisional pages of grade: B (Created page with "Category:Provisional pages") (current)
- 00:41, 19 March 2017 (diff | hist) . . (+5,633) . . N A set is bounded if and only if for all points in the space there is a positive real such that the distance from that point to any point in the set is less than the positive real (Created page with "{{Provisional page|grade=B|msg=This is a part of the new metrically bounded set page group. It is one of the claims that forms a component of the currently not-updated E...") (current)
- 23:34, 18 March 2017 (diff | hist) . . (+100) . . N Metrics (Redirected page to Metric) (current)
- 23:12, 18 March 2017 (diff | hist) . . (+227) . . Equivalent conditions to a set being bounded (Demoted stub grade, added note to link with metrically bounded set) (current)
- 23:10, 18 March 2017 (diff | hist) . . (+3,555) . . N Metrically bounded set (Saving work not finished) (current)
- 19:03, 18 March 2017 (diff | hist) . . (+1,339) . . N The little-L(C) spaces are complete (Created page with "{{DISPLAYTITLE:The {{M|\ell^p(\mathbb{C})}} spaces are complete}} __TOC__ ==Statement== Let {{M|p\in[1,+\infty]\subseteq}}extended real numbers|{{M|\overline{\mathbb{R} } }}...") (current)
- 18:39, 18 March 2017 (diff | hist) . . (+93) . . N The little-L spaces are complete (Redirected page to The little-L(C) spaces are complete) (current)
- 17:52, 18 March 2017 (diff | hist) . . (+99) . . A sequence consisting of the nth terms of the sequences in a Cauchy sequence of elements in any little-L space is itself a Cauchy sequence of complex numbers (Added picture of proof - lowered proof importance grade.) (current)
- 17:36, 18 March 2017 (diff | hist) . . (+165) . . N File:CauchySequenceOfNthsTermsOfCauchySequenceInEllpProof.jpg (For a sequence consisting of the nth terms of the sequences in a Cauchy sequence of elements in any little-L space is itself a Cauchy sequence of complex numbers) (current)
- 22:44, 17 March 2017 (diff | hist) . . (+1,254) . . N A sequence consisting of the nth terms of the sequences in a Cauchy sequence of elements in any little-L space is itself a Cauchy sequence of complex numbers (Created page with "{{DISPLAYTITLE:A sequence consisting of the {{M|n^\text{th} }} terms of the sequences in a Cauchy sequence of elements in any {{M|\ell^p}} space is itself a Cauchy sequence of...")
- 12:53, 17 March 2017 (diff | hist) . . (+2,226) . . N Graph (topological manifold) (Created page with "{{Provisional page|grade=A*|msg=Important to do}} __TOC__ ==Definition== Let {{M|U\in\mathcal{P}(\mathbb{R}^n)}} be an open set, with {{M|\mathbb{R}^n}} denoting Euclide...") (current)
- 13:33, 15 March 2017 (diff | hist) . . (+291) . . m Exercises:Saul - Algebraic Topology - 9/Exercise 9.7 (Adding note) (current)
- 13:30, 15 March 2017 (diff | hist) . . (+148) . . m Exercises:Saul - Algebraic Topology - 9/Exercise 9.7 (Added note)
- 13:08, 15 March 2017 (diff | hist) . . (+6) . . m Exercises:Saul - Algebraic Topology - 9/Exercise 9.7 (typo)
- 11:46, 15 March 2017 (diff | hist) . . (+7,666) . . N Exercises:Saul - Algebraic Topology - 9/Exercise 9.7 (saving work)
- 09:41, 15 March 2017 (diff | hist) . . (+128) . . N Exercises:Saul - Algebraic Topology - 9 (Created page with "==Exercises== ==={{subpage|Exercise 9.7}}=== {{/Exercise 9.7}} ==Notes== <references group="Note"/> ==References== <references/>") (current)
- 05:05, 12 March 2017 (diff | hist) . . (+2,431) . . N Sphere (topological manifold) (Created page with "{{Provisional page|grade=A*|msg=Would be good example}} __TOC__ ==Definition== Let {{M|\mathbb{S}^n\subseteq\mathbb{R}^{n+1} }} denote the usual sphere}}, of co...") (current)
- 04:42, 12 March 2017 (diff | hist) . . (+83) . . N Charts (Redirected page to Chart) (current)
- 01:13, 9 March 2017 (diff | hist) . . (+1,795) . . N There is no set of all sets (Created page with "{{Provisional page|grade=A*|msg=The "core pages" of set theory need to be unified and designed to be viewed in a specific order so all the precursors actually come before}} __...") (current)
- 23:35, 8 March 2017 (diff | hist) . . (+594) . . m A pair of identical elements is a singleton (Fixing and leaving for later) (current)
- 23:34, 8 March 2017 (diff | hist) . . (0) . . m Singleton (set theory)/Definition (Typo in reference link) (current)
- 23:23, 8 March 2017 (diff | hist) . . (+422) . . N Axiom of foundation (Created page with "{{Provisional page|grade=A*|msg=Lots of work required!}}<div style="height:0px;">{{M|\newcommand{\limplies}[0]{\rightarrow} }}</div> __TOC__ ==Definition== * {{M|\forall S\big...") (current)
- 23:19, 8 March 2017 (diff | hist) . . (+59) . . N Axiom of regularity (Redirected page to Axiom of foundation) (current)
- 23:18, 8 March 2017 (diff | hist) . . (+67) . . N Replacement axiom (Redirected page to Axiom schema of replacement) (current)
- 23:17, 8 March 2017 (diff | hist) . . (+1,723) . . N Axiom schema of replacement (A lot of work is required but its a start)
- 19:31, 8 March 2017 (diff | hist) . . (0) . . m File:WarwickSetTheoryLectureNotes2011.pdf (Alec moved page File:WarwcikSetTheoryLectureNotes2011.pdf to File:WarwickSetTheoryLectureNotes2011.pdf without leaving a redirect: Typo) (current)
- 17:38, 8 March 2017 (diff | hist) . . (-130) . . m Singleton (set theory) (→{{subpage|Definition}}) (current)
- 17:38, 8 March 2017 (diff | hist) . . (+159) . . Singleton (set theory)/Definition (Concise form added)
- 17:35, 8 March 2017 (diff | hist) . . (+759) . . Singleton (set theory) (Updating after mistake spotted in definition, thank goodness I prove stuff!)
- 17:26, 8 March 2017 (diff | hist) . . (+1,914) . . N Rewriting for-all and exists within set theory (Created page with "{{Stub page|grade=A*|msg=Flesh out, check, link to formal logic}} __TOC__ ==Statement== Let {{M|\varphi(x,a_1,\ldots,a_n)}} be any "predicate" or {{link|formula|FOL}} where {{...") (current)
- 16:14, 8 March 2017 (diff | hist) . . (+581) . . Singleton (set theory)/Definition (Silly mistake, good job I spotted it, now have a reference. Spotted during proof.)
- 16:08, 8 March 2017 (diff | hist) . . (+29) . . N File:WarwickSetTheoryLectureNotes2011.pdf (I want to reference something)
- 16:03, 8 March 2017 (diff | hist) . . (+1,112) . . N A pair of identical elements is a singleton (Created page with "__TOC__ ==Statement== Let {{M|t}} be a set. By ''the axiom of pairing'' we may construct a unique (unordered) pair, which up until now we have denoted by {{M|\{t,t\} }...")
- 15:57, 8 March 2017 (diff | hist) . . (+399) . . N Singleton (set theory) (Created page with "__TOC__ =={{subpage|Definition}}== {{/Definition}} More concisely this may be written: * {{M|\exists t\in X\forall s[s\in X\implies t\eq s]}} ==Significance== Notice that we h...")
- 15:57, 8 March 2017 (diff | hist) . . (+537) . . N Singleton (set theory)/Definition (Created page with "<noinclude> {{Requires references|grade=B|msg=Would be good to get this confirmed.}} __TOC__ ==Definition== </noinclude>Let {{M|X}} be a set. We call {{M|X}} a ''singleton...")
- 15:25, 7 March 2017 (diff | hist) . . (+2,278) . . Exercises:Saul - Algebraic Topology - 8/Exercise 8.5 (Typos and rest of proof) (current)
- 15:03, 7 March 2017 (diff | hist) . . (0) . . N File:ManifoldsAndOpenSets.JPG (current)
- 14:54, 7 March 2017 (diff | hist) . . (+5,218) . . N Exercises:Saul - Algebraic Topology - 8/Exercise 8.5 (Saving work)
- 13:25, 7 March 2017 (diff | hist) . . (-446) . . Given a homeomorphism all subspaces of the domain are homeomorphic to their image under the homeomorphism itself (Factored statement out - with slight edit) (current)
- 13:24, 7 March 2017 (diff | hist) . . (+708) . . N Given a homeomorphism all subspaces of the domain are homeomorphic to their image under the homeomorphism itself/Statement (Reworded the words version slightly, added explicit conclusion. Otherwise copy and paste of factoring statement out.) (current)
- 13:14, 7 March 2017 (diff | hist) . . (+128) . . N Exercises:Saul - Algebraic Topology - 8 (Created page with "==Exercises== ==={{subpage|Exercise 8.5}}=== {{/Exercise 8.5}} ==Notes== <references group="Note"/> ==References== <references/>") (current)
- 15:30, 3 March 2017 (diff | hist) . . (+892) . . N Notes:Simple function approximation to a numerical function (Saving work) (current)
- 15:28, 3 March 2017 (diff | hist) . . (+1,842) . . N Simple function under-approximation to a numerical function (Saving work) (current)
- 16:24, 2 March 2017 (diff | hist) . . (+4,777) . . N NeedEditingSpace (Used on [[Unique) (current)
- 16:23, 2 March 2017 (diff | hist) . . (+614) . . Unique lifting property (Done - needs tidying) (current)
- 15:45, 2 March 2017 (diff | hist) . . (+4,139) . . Unique lifting property (Added bulk of second part of proof)
- 23:13, 1 March 2017 (diff | hist) . . (+8,285) . . N Unique lifting property (Saving work)
- 12:43, 1 March 2017 (diff | hist) . . (+373) . . Exercises:Saul - Algebraic Topology - 7/Exercise 7.6 (Finished!) (current)
- 12:42, 1 March 2017 (diff | hist) . . (0) . . N File:Saul7Pic4.JPG (current)
- 12:41, 1 March 2017 (diff | hist) . . (0) . . N File:Saul7Pic3.JPG (current)
- 12:41, 1 March 2017 (diff | hist) . . (0) . . N File:Saul7Pic2.JPG (current)
- 12:40, 1 March 2017 (diff | hist) . . (0) . . N File:Saul7Pic1.JPG (current)
- 12:31, 1 March 2017 (diff | hist) . . (+1,925) . . Exercises:Saul - Algebraic Topology - 7/Exercise 7.6 (Just need to get a picture)
- 11:49, 1 March 2017 (diff | hist) . . (+3,394) . . Exercises:Saul - Algebraic Topology - 7/Exercise 7.6 (Saving work - nearly there)
- 17:30, 28 February 2017 (diff | hist) . . (+3,635) . . Exercises:Saul - Algebraic Topology - 7/Exercise 7.6 (Added first part of question, saving work)
- 16:58, 28 February 2017 (diff | hist) . . (0) . . m Exercises:Saul - Algebraic Topology - 7/Exercise 7.6/X Complex (Moving heading to top) (current)
- 16:57, 28 February 2017 (diff | hist) . . (+806) . . N Exercises:Saul - Algebraic Topology - 7/Exercise 7.6/X Complex (Created page with "{| class="wikitable" border="1" style="overflow:hidden;margin:0px;max-width:40em;" |- | colspan="3" | <center><span style="font-size:1.2em;"><m>\xymatrix{ \bullet_{v_0} \ar[d...")
- 16:33, 28 February 2017 (diff | hist) . . (0) . . m Exercises:Saul - Algebraic Topology - 7/Exercise 7.6 (Alec moved page Exercises:Saul - Algebraic Topology - 7/Exercises 7.6 to Exercises:Saul - Algebraic Topology - 7/Exercise 7.6 without leaving a redirect: Removing s)
- 16:33, 28 February 2017 (diff | hist) . . (-1) . . m Exercises:Saul - Algebraic Topology - 7 (Typo) (current)
- 15:56, 28 February 2017 (diff | hist) . . (+442) . . N Exercises:Saul - Algebraic Topology - 7/Exercise 7.6 (Saving skeleton)
- 15:17, 28 February 2017 (diff | hist) . . (+129) . . N Exercises:Saul - Algebraic Topology - 7 (Creating page)
- 17:49, 27 February 2017 (diff | hist) . . (+926) . . Doctrine:Measure theory terminology (Marked stuff provisional, added diagram I need and thought I already did) (current)
- 15:48, 27 February 2017 (diff | hist) . . (-298) . . Borel sigma-algebra of the real line (Claim 8 has reasoning now, warnings removed, it's probably true. Proof still pending) (current)
- 22:23, 26 February 2017 (diff | hist) . . (+601) . . User:Alec/Goals/2017.2.25 - 2017.3.3 (Adding things I've done) (current)
- 22:20, 26 February 2017 (diff | hist) . . (+481) . . m Borel sigma-algebra of the real line (Added to theorems category. Added provisional notice pertaining to the Borel sigma-algebra page)
- 22:20, 26 February 2017 (diff | hist) . . (+30) . . N Category:Provisional pages of grade: A* (Created page with "Category:Provisional pages") (current)
- 22:15, 26 February 2017 (diff | hist) . . (+4,167) . . N Borel sigma-algebra of the real line (Created page with "{{DISPLAYTITLE:Borel {{sigma|algebra}} of the real line}} __TOC__ ==Definition== Let {{M|(\mathbb{R},\mathcal{O})}}<ref group="Note">Traditionally we use {{M|\mathcal{J} }} fo...")
- 21:36, 26 February 2017 (diff | hist) . . (+7) . . The reals (This is on the fence between the algebraic and topology viewpoints, algebraic points to topological so going that way, pointing at: the real numbers) (current)
- 21:35, 26 February 2017 (diff | hist) . . (+56) . . Real numbers (After separating "The real line" (topological concept) from "the real numbers" this page needs to redirect towards set theory - the real numbers) (current)
- 21:33, 26 February 2017 (diff | hist) . . (+84) . . Real line (Aiming redirect at the topological notion of the reals - the real line) (current)
- 21:33, 26 February 2017 (diff | hist) . . (0) . . m Real line (Alec moved page TmpForSwap to Real line without leaving a redirect: To make "real numbers" the set and "the real line" the topological aspect they've been separated, this was "the real numbers", which redirected to "real line" which I just move...)
- 21:31, 26 February 2017 (diff | hist) . . (0) . . m The real numbers (Alec moved page Real line to The real numbers without leaving a redirect: Moving to "the real numbers" which was a redirect page here) (current)
- 21:31, 26 February 2017 (diff | hist) . . (0) . . m The real numbers/Infobox (Alec moved page Real line/Infobox to The real numbers/Infobox without leaving a redirect: Moving to "the real numbers" which was a redirect page here) (current)
- 21:31, 26 February 2017 (diff | hist) . . (0) . . m Real line (Alec moved page The real numbers to TmpForSwap without leaving a redirect: Going to move "Real line" here, that way "the real line" is a topological term, "the real numbers" are the set. Undoing a move on the 30th of December.)
- 21:29, 26 February 2017 (diff | hist) . . (+138) . . The real numbers (Factored infobox into separate page, added note for Borel sigma algebra. Fleshed out infobox. Preparing to move)
- 21:28, 26 February 2017 (diff | hist) . . (+1,412) . . N The real numbers/Infobox (Moved infobox to separate page. Made box a little wider to support title.)
- 21:13, 26 February 2017 (diff | hist) . . (+108) . . N Topology induced by the metric (Redirected page to Topology induced by a metric) (current)
- 01:59, 26 February 2017 (diff | hist) . . (+2,202) . . N Lifting of a continuous map through a covering map (Created page with "{{Stub page|grade=A**|msg=Very important page, make sure that it is done with the utmost generality!}} __TOC__ ==Definition== <div style="float:right;margin:0px;margin-left:0....") (current)
- 01:45, 26 February 2017 (diff | hist) . . (+729) . . N User:Alec/Goals/2017.2.25 - 2017.3.3 (Created page with " ==Pages== * lifting of a continuous map through a covering map ~~~~ * Unique lifting property - complete with proof - even if proof on paper. ~~~~ * Path lifting pr...")
- 01:42, 26 February 2017 (diff | hist) . . (+28) . . m User:Alec/Goals (Adding next goals) (current)
- 01:41, 26 February 2017 (diff | hist) . . (+1,302) . . User:Alec/Goals/2017.2.17 - 2017.2.24 (Adding (some) things I did) (current)
- 01:35, 26 February 2017 (diff | hist) . . (+1,027) . . N Topological covering space (Creating page) (current)
- 01:26, 26 February 2017 (diff | hist) . . (+285) . . Covering space (Redirecting to new page!) (current)
- 01:25, 26 February 2017 (diff | hist) . . (+99) . . N Covering space (topology) (Redirected page to Topological covering space) (current)
- 01:24, 26 February 2017 (diff | hist) . . (+395) . . N Covering map (topology) (Created page with "{{Stub page|grade=A**|msg=Covering space (topology) will be the "main page"}} : This is a supporting article to the main article: ''topological covering space'' __TOC_...") (current)
- 01:22, 26 February 2017 (diff | hist) . . (+839) . . N Covering map (topology)/Definition (Created page with "<noinclude> ==Definition== </noinclude>Let {{Top.|X|J}} and {{Top.|E|H}} be topological spaces. A map, {{M|p:E\rightarrow X}} between them is called a ''covering map''...") (current)
- 01:20, 26 February 2017 (diff | hist) . . (+107) . . N Evenly covers (topology) (Redirected page to Evenly covered by a continuous map) (current)
- 19:20, 25 February 2017 (diff | hist) . . (+695) . . Notes:Covering spaces (→Uniqueness of lifts: Adding outline) (current)
- 17:21, 25 February 2017 (diff | hist) . . (+191) . . m Notes:Covering spaces (Saving work, minor amount though)
- 16:34, 25 February 2017 (diff | hist) . . (+2,581) . . N Notes:Covering spaces (Saving work, easy stuff, worth doing proof)
- 21:55, 24 February 2017 (diff | hist) . . (+107) . . N Even covering (topology) (Redirected page to Evenly covered by a continuous map) (current)
- 21:54, 24 February 2017 (diff | hist) . . (+2,318) . . N Evenly covered by a continuous map (Created page with "{{Stub page|grade=A**|msg=find another source! I have encountered many variations}} {{Provisional page|grade=A*|msg=Books conflict on whether or not the {{M|V_\alpha}} must be...") (current)
- 21:31, 24 February 2017 (diff | hist) . . (+107) . . N Evenly covered (topology) (Redirected page to Evenly covered by a continuous map) (current)
- 01:04, 24 February 2017 (diff | hist) . . (+14) . . m User:Alec/Goals/2017.2.17 - 2017.2.24 (Putting subject into links)
- 15:12, 23 February 2017 (diff | hist) . . (+97) . . N Locally path connected (topology) (Redirected page to Locally path-connected topological space) (current)
- 15:11, 23 February 2017 (diff | hist) . . (+97) . . N Locally path-connected (topology) (Redirected page to Locally path-connected topological space) (current)
- 15:10, 23 February 2017 (diff | hist) . . (+1,655) . . N Locally path-connected topological space (Created page with "{{Stub page|grade=A**|msg=Demote once explored and linked in}} : '''''Not to be confused with: ''''' locally connected topological space - note that ''locally path-connect...") (current)
- 14:44, 23 February 2017 (diff | hist) . . (+142) . . Locally path connected topological space (Marked old crap old, redirecting to final page) (current)
- 14:40, 23 February 2017 (diff | hist) . . (+291) . . m User:Alec/Goals/2017.2.17 - 2017.2.24 (Added things I've done)
- 14:35, 23 February 2017 (diff | hist) . . (+700) . . N Example:Continuous maps contracting something to a point (Created page with "{{Stub page|grade=A**|msg=Link to this page! Then demote * Finish off before demoting ~~~~}} __TOC__ ==Example== {| class="wikitable" border="1" style="float:right;margin:0px;...") (current)
- 12:52, 23 February 2017 (diff | hist) . . (+1,582) . . N Path-connected topological space (Saving work - created under duress so may be crap (support class)) (current)
- 23:09, 22 February 2017 (diff | hist) . . (+89) . . N Path connected topological space (Redirected page to Path-connected topological space) (current)
- 23:09, 22 February 2017 (diff | hist) . . (+89) . . N Path-connected (topology) (Redirected page to Path-connected topological space) (current)
- 23:08, 22 February 2017 (diff | hist) . . (+89) . . N Path connected (topology) (Redirected page to Path-connected topological space) (current)
- 23:07, 22 February 2017 (diff | hist) . . (+51) . . m Template:Topology navbox (Added path connectedness) (current)
- 23:04, 22 February 2017 (diff | hist) . . (+856) . . N Example:A bijective and continuous map that is not a homeomorphism (Created page with "{{Stub page|grade=C|msg=Maybe add others? Tidy the page up a bit!}} ==Example== Let {{M|X:\eq[0,1)\subset\mathbb{R} }} with the subspace topology and consider: {{M|f:\math...") (current)
- 22:58, 22 February 2017 (diff | hist) . . (+157) . . m Homeomorphism (Adding useful example!) (current)
- 22:56, 22 February 2017 (diff | hist) . . (+335) . . m Homeomorphism (Added note to future editor)
- 22:53, 22 February 2017 (diff | hist) . . (+1) . . m Open map (Typo) (current)
- 22:52, 22 February 2017 (diff | hist) . . (+84) . . Hausdorff space (Adding phrasing, removed pointless use of X, happy now I think!) (current)
- 22:49, 22 February 2017 (diff | hist) . . (+2,441) . . Hausdorff space (Overhaul - it was crap, saving work. Mostly done I hope! Included mention of separation axioms)
- 22:45, 22 February 2017 (diff | hist) . . (+98) . . N Open neighbourhoods (Redirected page to Open neighbourhood) (current)
- 21:45, 22 February 2017 (diff | hist) . . (+304) . . Local homeomorphism (Added terminology note and noted lack of information in one area) (current)
- 21:43, 22 February 2017 (diff | hist) . . (+1,349) . . N Local homeomorphism (Created page with "{{Stub page|grade=B|msg=Prototype page}} __TOC__ ==Definition== Let {{Top.|X|J}} and {{Top.|Y|K}} be topological spaces and let {{M|f:X\rightarrow Y}} be a map (we do...")
- 21:31, 22 February 2017 (diff | hist) . . (+57) . . N Locally homeomorphic (Redirected page to Local homeomorphism) (current)
- 18:56, 22 February 2017 (diff | hist) . . (+1,104) . . Notes:Ell^p(C) is complete for p between one and positive infinity inclusive (Saving work) (current)
- 18:47, 22 February 2017 (diff | hist) . . (+736) . . Notes:Ell^p(C) is complete for p between one and positive infinity inclusive (Saving work)
- 18:41, 22 February 2017 (diff | hist) . . (+811) . . Notes:Ell^p(C) is complete for p between one and positive infinity inclusive (Saving work)
- 18:34, 22 February 2017 (diff | hist) . . (+1,081) . . N Notes:Ell^p(C) is complete for p between one and positive infinity inclusive (Saving work)
- 18:12, 22 February 2017 (diff | hist) . . (+153) . . N Ell^p(C) is complete for p between one and positive infinity inclusive (Created page with "{{Stub page|grade=A**|msg=Demote once it is categorised correctly}} See: Notes:Ell^p(C) is complete for p between one and positive infinity inclusive") (current)
- 22:57, 21 February 2017 (diff | hist) . . (+2) . . m User:Harold/AlgTop1 (→Alec's formatting) (current)
- 22:55, 21 February 2017 (diff | hist) . . (+788) . . m User:Harold/AlgTop1 (→Alec's formatting)
- 21:50, 21 February 2017 (diff | hist) . . (+19) . . m User:Harold/AlgTop1 (→Alec's formatting)
- 21:31, 21 February 2017 (diff | hist) . . (+32) . . m User:Harold/AlgTop1 (→Alec's formatting)
- 21:28, 21 February 2017 (diff | hist) . . (+18) . . m User:Harold/AlgTop1 (→Alec's formatting)
- 21:26, 21 February 2017 (diff | hist) . . (+38) . . m User:Harold/AlgTop1 (→Alec's formatting: More)
- 21:24, 21 February 2017 (diff | hist) . . (+457) . . User:Harold/AlgTop1 (Added diagram)
- 12:42, 21 February 2017 (diff | hist) . . (+5) . . m Coproduct (topology) (Fixing double redirect) (current)
- 12:41, 21 February 2017 (diff | hist) . . (+5) . . m Topological coproduct (Redirected page to Disjoint union topology) (current)
- 12:40, 21 February 2017 (diff | hist) . . (+568) . . Locally Euclidean topological space of dimension n (Adding note about well defined-ness) (current)
- 12:37, 21 February 2017 (diff | hist) . . (+18) . . Locally euclidean of dimension n (Redirected to correct place (to avoid double redirect)) (current)
- 14:32, 20 February 2017 (diff | hist) . . (+153) . . m Locally Euclidean topological space (→Equivalent definitions: Adding note for when I pick this up) (current)
- 13:31, 20 February 2017 (diff | hist) . . (+1,131) . . N Given a homeomorphism all subspaces of the domain are homeomorphic to their image under the homeomorphism itself (Created page with "{{Stub page|grade=A**|msg=Come back and check this}} __TOC__ ==Statement== Let {{Top.|X|J}} and {{Top.|Y|K}} be topological spaces and suppose that {{M|f:X\rightarrow Y}}...")
- 13:30, 20 February 2017 (diff | hist) . . (0) . . N File:HomeomorphismsRestrictToHomeomorphisms.JPG (current)
- 12:47, 20 February 2017 (diff | hist) . . (+1,807) . . N Locally Euclidean topological space of dimension n (Moving and adding content)
- 12:38, 20 February 2017 (diff | hist) . . (-145) . . Locally Euclidean of dimension n (REDIRECTING to page with "topological space" in the title.) (current)
- 21:20, 19 February 2017 (diff | hist) . . (+229) . . User:Alec/HaroldBitchingII (current)
- 17:48, 19 February 2017 (diff | hist) . . (+260) . . User:Alec/HaroldBitchingII (Saving work while I free up mem)
- 17:22, 19 February 2017 (diff | hist) . . (+229) . . N User:Alec/HaroldBitchingII (Created page with "{| class="wikitable" border="1" style="overflow:hidden;" |- | <center><span style="font-size:1.2em;"><m>\xymatrix{ {v_0} \ar[r]^a & {v_0} \\ {v_0} \ar[ur]^c_c \ar[u]^b \ar[r]_...")
- 17:07, 19 February 2017 (diff | hist) . . (+282) . . N Locally Euclidean of dimension n (Created page with "{{Stub page|grade=A*|msg=See Locally euclidean, it's the same thing but with {{M|n}} fixed before the {{M|\forall p\in x}} part. ~~~~}} {{Definition|Topology|Manifolds|Smo...")
- 17:02, 19 February 2017 (diff | hist) . . (+119) . . N Locally euclidean of dimension n (Redirected page to Locally Euclidean of dimension n)
- 16:55, 19 February 2017 (diff | hist) . . (+23) . . N Category:Stub pages of grade: A** (Created page with "Category:Stub pages") (current)
- 16:55, 19 February 2017 (diff | hist) . . (+3,592) . . N Locally Euclidean topological space (Created page with "{{Stub page|grade=A**|msg=This is a '''notes quality page''' it is actively being worked upon and should not be taken to be as reliable as a normal page * I am currently doing...")
- 16:29, 19 February 2017 (diff | hist) . . (+195) . . User:Harold/Charting RP^n (Stylistic changes)
- 15:51, 19 February 2017 (diff | hist) . . (+122) . . N Locally euclidean topological space (Redirected page to Locally Euclidean topological space) (current)
- 15:50, 19 February 2017 (diff | hist) . . (+122) . . N Locally euclidean (Redirected page to Locally Euclidean topological space) (current)
- 11:56, 19 February 2017 (diff | hist) . . (+267) . . N Books:Combinatorial Algebraic Topology - Dmitry Kozlov (Created page with "==Alec's progress== {| class="wikitable" border="1" |- ! colspan="2" | Book progress |- |<book>94c74cebeb26d06d14a6b23dd2e654b1</book> | Key * Blue boxes are unread pages * Gr...") (current)
- 11:54, 19 February 2017 (diff | hist) . . (+1) . . m Abstract simplicial complex (Typo for __TOC__) (current)
- 11:54, 19 February 2017 (diff | hist) . . (+120) . . Abstract simplicial complex (→Vertex Scheme: Added that it is derived from a simplicial complex)
- 11:52, 19 February 2017 (diff | hist) . . (+655) . . N Vertex scheme of an abstract simplicial complex (The definition leaves a lot to be desired!) (current)
- 11:52, 19 February 2017 (diff | hist) . . (+33) . . N Category:Pages requiring work of grade: E (Created page with "Category:Pages requiring work") (current)
- 11:51, 19 February 2017 (diff | hist) . . (+1,311) . . N Vertex scheme of an abstract simplicial complex/Definition (Created page with "<noinclude> {{Requires work|grade=E|msg=There's a lot of work required here. Like what does it mean for "vertices to span a simplex" and so forth? Also the notation for the de...") (current)
- 11:38, 19 February 2017 (diff | hist) . . (-360) . . Vertex set of an abstract simplicial complex (Moved definition into a subpage. That subpage had some changes too, just adding notational note to first line and a words version of the definition) (current)
- 11:37, 19 February 2017 (diff | hist) . . (+666) . . N Vertex set of an abstract simplicial complex/Definition (Added notation and words version of definition, not just copied and pasted the definition to a subpage!) (current)
- 11:34, 19 February 2017 (diff | hist) . . (+138) . . N Vertex scheme (abstract simplicial complex) (Redirected page to Vertex scheme of an abstract simplicial complex) (current)
- 11:34, 19 February 2017 (diff | hist) . . (+939) . . N Vertex set of an abstract simplicial complex (Created page with "{{Stub page|grade=E|msg=See Abstract simplicial complex, same stuff. Needs another reference. See what Books:Combinatorial Algebraic Topology - Dmitry Kozlov has to sa...")
- 11:30, 19 February 2017 (diff | hist) . . (+135) . . N Vertex set (abstract simplicial complex) (Redirected page to Vertex set of an abstract simplicial complex) (current)
- 11:27, 19 February 2017 (diff | hist) . . (+23) . . N Category:Stub pages of grade: E (Created page with "Category:Stub pages") (current)
- 11:27, 19 February 2017 (diff | hist) . . (+2,595) . . N Abstract simplicial complex (Created page with "{{Stub page|grade=E|msg=Unimportant page at the current time as it will not come up in my exam! However I think it is important! Notes for improvement: * See Books:Combinato...")
- 09:32, 19 February 2017 (diff | hist) . . (+53) . . N Category:Smooth Manifolds Definitions (Created page with "Category:Smooth ManifoldsCategory:Definitions") (current)
- 09:08, 18 February 2017 (diff | hist) . . (+131) . . m Real projective space (defs) (current)
- 06:21, 18 February 2017 (diff | hist) . . (+1,807) . . N Real projective space (Created page with "{{Stub page|grade=A*|msg=Would be a great page to have * Demote to grade C once charts and definition 1 is in place ~~~~}} __TOC__ ==Definition== Let {{M|n\in\mathbb{N}_{\ge 1...")
- 23:49, 17 February 2017 (diff | hist) . . (+86) . . m Template:Infobox (Adding documentation for style in another place) (current)
- 18:14, 17 February 2017 (diff | hist) . . (+201) . . m User:Alec/Goals/2017.2.17 - 2017.2.24
- 18:11, 17 February 2017 (diff | hist) . . (+149) . . m User:Alec/Goals/2017.2.17 - 2017.2.24 (Added something)
- 18:09, 17 February 2017 (diff | hist) . . (0) . . m User:Alec/Goals (Alec moved page User:Alec/Goals/ to User:Alec/Goals without leaving a redirect: Typo)
- 18:08, 17 February 2017 (diff | hist) . . (0) . . m User:Alec/Goals/2017.2.17 - 2017.2.24 (Alec moved page User:Alec/Goals//2017.2.17 - 2017.2.24 to User:Alec/Goals/2017.2.17 - 2017.2.24 without leaving a redirect: Typo)
- 18:02, 17 February 2017 (diff | hist) . . (+1,514) . . N User:Alec/Goals/2017.2.17 - 2017.2.24 (Created page with "==Create pages== * singleton (set theory) ~~~~ * path connected topological space ~~~~ * local homeomorphism / locally homeomorphic ~~~~ * locally path conne...")
- 17:54, 17 February 2017 (diff | hist) . . (+16) . . m User:Alec (Added goals)
- 17:54, 17 February 2017 (diff | hist) . . (+28) . . N User:Alec/Goals (Created page with "* /2017.2.17 - 2017.2.24")
- 17:53, 17 February 2017 (diff | hist) . . (+360) . . N Singleton (Created page with "{{Disambiguation}} * Singleton (set theory) - a set with one element, {{M|\{x\} }} is the ''singleton'' containing just {{M|x}}. * Singleton (programming) - a name giv...") (current)
- 17:50, 17 February 2017 (diff | hist) . . (+591) . . N The real line (Created page with "{{Stub page|grade=D|msg=This could use being linked to from the real numbers or the reals - whatever it is called, and some clarification}} : This page documents the...") (current)
- 17:38, 17 February 2017 (diff | hist) . . (+180) . . m The real numbers (Added note to the real line)
- 17:35, 17 February 2017 (diff | hist) . . (+4,951) . . N Intermediate value theorem (Created page with "{{Stub page|grade=D|msg=Needs linking to from other pages!}} __TOC__ ==Statement== Let {{Top.|X|J}} be a ''{{link|connected|topology}}'' topological space and suppose {{M|...") (current)
- 20:15, 16 February 2017 (diff | hist) . . (+550) . . N The interior of a set in a topological space is equal to the union of all interior points of that set (Created page with "{{Stub page|grade=B|msg=This page needs to have its statement written clearly and ideally the proof transcribed}} __TOC__ ==Statement== The interior (topology)|{{M|\text{Int...") (current)
- 20:14, 16 February 2017 (diff | hist) . . (0) . . N File:InteriorIsEqualToSetOfAllInteriorPoints.JPG (current)
- 20:10, 16 February 2017 (diff | hist) . . (+553) . . Interior (topology) (Added link to proof of equivalent definition - which I have now shown - added more references, removed some un-needed sections) (current)
- 20:09, 16 February 2017 (diff | hist) . . (+20) . . Template:Requires references (Adding msg tag for msg provided) (current)
- 19:33, 16 February 2017 (diff | hist) . . (+255) . . List of topological properties (Added interior - done quickly) (current)
- 19:28, 16 February 2017 (diff | hist) . . (+114) . . m Interior (Redirected page to Interior (topology)) (current)
- 19:27, 16 February 2017 (diff | hist) . . (+1,467) . . N Interior (topology) (Created initial version)
- 18:42, 16 February 2017 (diff | hist) . . (+617) . . N Doctrine:K (Created page with ": See also: Doctrine:Index for implicit definitions like these, conventions (like {{M|i}} for an index or {{M|f}} for a function) are not covered, see [[Index of notation]...") (current)
- 18:40, 16 February 2017 (diff | hist) . . (+62) . . N Compact (topology) (Redirected page to Compactness) (current)
- 18:36, 16 February 2017 (diff | hist) . . (+518) . . N Doctrine:K (topological space) (Created page with "{{DISPLAYTITLE:Doctrine:{{M|K}} (topological space)}} ==Statement== {{M|K}} shall denote the (underlying set) of any topological space which is {{link|compact|topology}} -...") (current)
- 18:30, 16 February 2017 (diff | hist) . . (+622) . . N Doctrine:K (field) (Created page with "{{DISPLAYTITLE:Doctrine:{{M|\mathbb{K} }} (field)}} ==Statement== {{M|\mathbb{K} }} shall denote the field that is either the reals, so {{M|\mathbb{K}:\eq\mathbb{R} }}...") (current)
- 17:51, 16 February 2017 (diff | hist) . . (+328) . . For a vector subspace of a topological vector space if there exists a non-empty open set contained in the subspace then the spaces are equal (Adding picture of proof. Added link to A proper vector subspace of a topological vector space has no interior) (current)
- 17:49, 16 February 2017 (diff | hist) . . (+2,389) . . N A proper vector subspace of a topological vector space has no interior (Saving work) (current)
- 16:36, 16 February 2017 (diff | hist) . . (0) . . N File:ProofAProperVectorSubspaceHasNoInterior.JPG (current)
- 14:08, 16 February 2017 (diff | hist) . . (+596) . . N For a vector subspace of a topological vector space if there exists a non-empty open set contained in the subspace then the spaces are equal (Created page with "__TOC__ ==Statement== Let {{M|(X,\mathcal{J},}}\mathbb{K} }}{{M|)}} be a topological vector space and let {{M|(Y,\mathbb{K})}} be a vector sub...")
- 14:03, 16 February 2017 (diff | hist) . . (+26) . . m Topological vector space (→Properties: Typo) (current)
- 13:52, 16 February 2017 (diff | hist) . . (+352) . . Topological vector space (Added some properties)
- 13:41, 16 February 2017 (diff | hist) . . (+57) . . m Trivial group (Added note to see other uses) (current)
- 13:39, 16 February 2017 (diff | hist) . . (+1,560) . . N Trivial group (Created page with "__TOC__ ==Definition== Let {{M|G:\eq\{e\} }}, the set containing one object, which we shall call {{M|e}}, and consider the binary operation given by the function: {{M|...")
- 13:31, 16 February 2017 (diff | hist) . . (+72) . . N Trivial (group) (Redirected page to Trivial group) (current)
- 13:29, 16 February 2017 (diff | hist) . . (+1,181) . . N Trivial (Created page with "==Meaning== Trivial means "obvious", if something is trivial it means very little work needs to be done to show it holds. Trivial can also mean the argument is vacuous, fo...") (current)
- 13:27, 16 February 2017 (diff | hist) . . (+399) . . Template:Definition (Bumped to 8 subjects)
- 20:45, 15 February 2017 (diff | hist) . . (+836) . . Topological vector space (Saving work, rewritten definition, 2 references. New reference allows us to use complex numbers rather than just reals.)
- 22:23, 14 February 2017 (diff | hist) . . (+572) . . User:Alec/Bitchin (Fleshed out) (current)
- 22:15, 14 February 2017 (diff | hist) . . (+812) . . User talk:Harold (→Some copy-and-paste-help: new section)
- 22:08, 14 February 2017 (diff | hist) . . (+175) . . N User talk:Harold (→Caveat with xymatrix: new section)
- 22:08, 14 February 2017 (diff | hist) . . (+112) . . N User talk:Harold/Xymatrix caveat (Example) (current)
- 21:47, 14 February 2017 (diff | hist) . . (+71) . . User:Alec/Bitchin (Added some arrows)
- 21:42, 14 February 2017 (diff | hist) . . (-20) . . User:Alec/Bitchin (Silly)
- 21:41, 14 February 2017 (diff | hist) . . (+399) . . N User:Alec/Bitchin (Created page with "{| class="wikitable" border="1" style="overflow:hidden;max-width:35em;" |- | <center><span style="font-size:1.2em;"><mm>\xymatrix{ & C_n(X) \ar[rr]^f \ar[d]_{\pi_1} \ar[dl]_{\...")
- 20:33, 14 February 2017 (diff | hist) . . (0) . . N File:PossibleSolutionAT2017-5-5.6.JPG (current)
- 20:13, 14 February 2017 (diff | hist) . . (+2) . . m Exercises:Saul - Algebraic Topology - 5/Exercise 5.6 (→Exercises: Typo) (current)
- 20:12, 14 February 2017 (diff | hist) . . (+1,026) . . Exercises:Saul - Algebraic Topology - 5/Exercise 5.6 (Adding in work)
- 15:29, 14 February 2017 (diff | hist) . . (+506) . . N Exercises:Saul - Algebraic Topology - 5/Exercise 5.6 (Created page with "<noinclude> ==Exercises== ===Exercise 5.6=== </noinclude>Let {{Top.|X|J}} be a topological space and let {{M|A\in\mathcal{P}(X)}} be a {{link|retract|topology}} of {{M|X}}...")
- 15:22, 14 February 2017 (diff | hist) . . (+136) . . N Exercises:Saul - Algebraic Topology - 5 (Created page with "__TOC__ ==Exercises== ==={{subpage|Exercise 5.6}}=== {{/Exercise 5.6}} ==Notes== <references group="Note"/> ==References== <references/>") (current)
- 18:10, 12 February 2017 (diff | hist) . . (+3,014) . . N The singular homology groups of a 1-point space are all trivial except the zeroth which is isomorphic to the integers (Created page with "{{Stub page|grade=A*|msg=Link to stuff, like the singular homology groups or group. Make this embedded in the wiki}} __TOC__ ==Statement== Let {{M|(\{x_0\},\{\emptyset,\{x_0\}...") (current)
- 15:54, 12 February 2017 (diff | hist) . . (+822) . . N Convex hull (Created page with "{{stub page|grade=C|msg=Not really important, references would be good}} __TOC__ ==Definition== Let {{M|S\in\mathcal{P}(\mathbb{R}^n)}} be an an arbitrary ''subset of'' ...") (current)
- 13:42, 10 February 2017 (diff | hist) . . (0) . . N File:ExampleGraphX2.JPG (current)
- 13:41, 10 February 2017 (diff | hist) . . (0) . . N File:ExampleGraphX1.JPG (current)
- 11:04, 10 February 2017 (diff | hist) . . (+674) . . N Epigraph (Created page with "{{Stub page|grade=A|msg=Another reference would be good}} __TOC__ ==Definition== Let {{M|S\in\mathcal{P}(\mathbb{R}^n)}} be an arbitrary subset of {{M|\mathbb{R}^n}} and l...") (current)
- 10:54, 10 February 2017 (diff | hist) . . (+174) . . Convex function (Added equivalent statement, added references.) (current)
- 09:59, 10 February 2017 (diff | hist) . . (+1,068) . . N Convex function (Saving work)
- 14:50, 9 February 2017 (diff | hist) . . (+464) . . m Convex (current)
- 12:00, 9 February 2017 (diff | hist) . . (+3,974) . . N Notes:Functional Analysis II (Created page with "==Official notes: 8/2/2017 edition== ===Conventions=== * {{M|\mathbb{K} }} - in line with our conventions means either the field of the reals, {{M|\mathbb{R} }}, or th...") (current)
- 11:27, 9 February 2017 (diff | hist) . . (+68) . . N Convex (Redirected page to Convex set)
- 11:27, 9 February 2017 (diff | hist) . . (+799) . . N Convex set (Created page with "{{Stub page|grade=C|msg=Needs a reference and tidying up! * Be sure convex redirects here}} __TOC__ ==Definition== Let {{M|(X,\mathbb{K})}} be a vector space over the...") (current)
- 14:36, 6 February 2017 (diff | hist) . . (+1,617) . . Notes:Delta complex/Formal attempt (Saving progress) (current)
- 15:36, 5 February 2017 (diff | hist) . . (+3,359) . . N Notes:Delta complex/Formal attempt (Saving work)
- 15:05, 5 February 2017 (diff | hist) . . (+352) . . N A linear map is injective if and only if its kernel is trivial (Created page with "{{Dire page}} ==Notes== See * Notes:Advanced_Linear_Algebra_-_Roman/Chapter_2#Theorem_2.3:_equivalent_statements_to_a_linear_map_being_surjective_.2F_injective * A linea...") (current)
- 14:28, 5 February 2017 (diff | hist) . . (+59) . . Notes:Delta complex (May have got it on paper) (current)
- 00:06, 4 February 2017 (diff | hist) . . (+280) . . Injection (Added arrow with tail notation)
- 00:05, 4 February 2017 (diff | hist) . . (+267) . . N Books:Notes On Set Theory - Second Edition - Yiannis Moschovakis (Created page with "==Alec's progress== {| class="wikitable" border="1" |- ! colspan="2" | Book progress |- |<book>ae67dc35dd00d67d26945dc80e8bd31f</book> | Key * Blue boxes are unread pages * Gr...") (current)
- 00:03, 4 February 2017 (diff | hist) . . (+745) . . N Template:RNOSTYM (Created page with "<noinclude> ==Purpose== This template adds a reference to the book: * Books:Notes On Set Theory - Second Edition - Yiannis Moschovakis|Notes On Set Theory - Second Edition -...") (current)
- 15:56, 3 February 2017 (diff | hist) . . (+108) . . Inductive set (See also) (current)
- 15:47, 3 February 2017 (diff | hist) . . (+26) . . m Inductive set (Definition)
- 15:46, 3 February 2017 (diff | hist) . . (+58) . . N Successor set (Redirected page to Successor of a set) (current)
- 15:46, 3 February 2017 (diff | hist) . . (+790) . . N Inductive set (Created page with "{{Stub page|grade=A*|msg=Needs another reference}} __TOC__ ==Definition== Let {{M|I}} be a set. We call {{M|I}} an ''inductive set'' if{{rITSTHJ}} both of the following pr...")
- 15:14, 3 February 2017 (diff | hist) . . (+1,666) . . N Successor of a set (Created page with ": '''Note: ''' ''successor function'' redirects here, it is certainly a synonym but certainly not the best name {{Stub page|grade=A|msg=More references needed!}} __TOC__ =...") (current)
- 15:10, 3 February 2017 (diff | hist) . . (+78) . . N Successor function (Redirected page to Successor of a set) (current)
- 12:54, 3 February 2017 (diff | hist) . . (+267) . . N Books:Introduction To Set Theory - Third Edition, Revised and Expanded - Karel Hrbacek & Thomas Jech (Created page with "==Alec's progress== {| class="wikitable" border="1" |- ! colspan="2" | Book progress |- |<book>0d59e29a66f7b0d4264e1ea8790e0832</book> | Key * Blue boxes are unread pages * Gr...") (current)
- 12:51, 3 February 2017 (diff | hist) . . (+933) . . N Template:RITSTHJ (Created page with "<noinclude> ==Purpose== This template adds a reference to the book: * Books:Introduction To Set Theory - Third Edition, Revised and Expanded - Karel Hrbacek & Thomas Jech|In...") (current)
- 13:07, 2 February 2017 (diff | hist) . . (+206) . . Pre-measurable space (No longer a redirect!) (current)
- 13:06, 2 February 2017 (diff | hist) . . (+64) . . N Premeasurable space (Redirected page to Pre-measurable space) (current)
- 13:06, 2 February 2017 (diff | hist) . . (+75) . . N Premeasurable space/Definition (Redirected page to Pre-measurable space/Definition) (current)
- 13:05, 2 February 2017 (diff | hist) . . (+965) . . m Measurable space (current)
- 13:04, 2 February 2017 (diff | hist) . . (+24) . . N Category:Refactoring grade A* pages (Created page with "Category:Refactoring") (current)
- 13:01, 2 February 2017 (diff | hist) . . (+267) . . N Books:A Guide To Advanced Real Analysis - Gerald B. Folland (Created page with "==Alec's progress== {| class="wikitable" border="1" |- ! colspan="2" | Book progress |- |<book>712ef1344be7aaf9ab8a5c680834760a</book> | Key * Blue boxes are unread pages * Gr...") (current)
- 12:57, 2 February 2017 (diff | hist) . . (+743) . . N Template:RAGTARAF (Created page with "<noinclude> ==Purpose== This template adds a reference to the book: * Books:A Guide To Advanced Real Analysis - Gerald B. Folland|A Guide To Advanced Real Analysis - Gerald...") (current)
- 06:33, 1 February 2017 (diff | hist) . . (-46) . . m Exercises:Saul - Algebraic Topology - 3/Exercise 3.2 (Shouldn't be doing this at 6am) (current)
- 06:32, 1 February 2017 (diff | hist) . . (-3) . . m Exercises:Saul - Algebraic Topology - 3/Exercise 3.2 (Typo)
- 06:27, 1 February 2017 (diff | hist) . . (+1,676) . . Exercises:Saul - Algebraic Topology - 3/Exercise 3.2 (Adding notes to marker, read it. Seems okay)
- 22:28, 31 January 2017 (diff | hist) . . (+228) . . N Pre-image (Created page with "{{Disambiguation}} * Pre-image (function) - {{M|f^{-1}(A)}} for a function, {{M|f}} and a set {{M|A}} * Pre-image (relation) - of which the pre-image for a functio...") (current)
- 18:31, 31 January 2017 (diff | hist) . . (+82) . . N Pre-image (map) (Redirected page to Pre-image (function)) (current)
- 18:25, 31 January 2017 (diff | hist) . . (+52) . . N Homomorphism (topology) (Redirected page to Continuous map) (current)
- 15:20, 31 January 2017 (diff | hist) . . (+1,395) . . N Geometrically independent set (Created page with "{{Stub page|grade=A*|msg=Demote once generalised, this is taken from an algebraic topology textbook. As such it deals with {{M|\mathbb{R}^N}} not an arbitrary vector space...") (current)
- 15:12, 31 January 2017 (diff | hist) . . (+486) . . m Simplicial complex (→Properties) (current)
- 15:08, 31 January 2017 (diff | hist) . . (+410) . . N A-(A-B) = A cap B (Created page with "{{DISPLAYTITLE:{{M|A-(A-B)\eq A\cap B}}}} __TOC__ ==Statement== Let {{M|A}} and {{M|B}} be sets, we claim that then {{M|A-(A-B)\eq A\cap B}} ==Proof== {{Requires proof|gra...") (current)
- 15:07, 31 January 2017 (diff | hist) . . (+424) . . N A cap (B-C) = (A cap B) - C (Created page with "{{DISPLAYTITLE:{{M|A\cap (B-C)\eq(A\cap B)-C}}}} __TOC__ ==Statement== Let {{M|A,\ B}} and {{M|C}} be sets. Then we claim: {{M|A\cap (B-C)\eq (A\cap B)-C}}<ref name="Alec"...") (current)
- 15:05, 31 January 2017 (diff | hist) . . (+3,614) . . N Simplicial complex (Created page with "{{Stub page|grade=A|msg=Early page, needs more references}} __TOC__ ==Definition== A ''simplicial complex'', {{M|K}}, in {{M|\mathbb{R}^N}} is a collection of {{plural|simpl|e...")
- 14:46, 31 January 2017 (diff | hist) . . (+497) . . N Index of elementary set theory equalities (Created page with "{{Stub page|grade=B|msg=Tidy up, add some stuff, so forth}} __TOC__ ==Index== ===Alternative forms of binary operators=== ===Expressions=== {| class="wikitable" border="1" |-...") (current)
- 14:03, 31 January 2017 (diff | hist) . . (+3,052) . . N Simplex (Created page with "{{Stub page|grade=A|msg=I don't like the ambient {{M|\mathbb{R}^N}} requirement, look to drop it. Also get more references}} __TOC__ ==Definition== Let {{M|\{a_0,\ldots,a_n\}\...") (current)
- 14:02, 31 January 2017 (diff | hist) . . (+33) . . N Category:Pages requiring work of grade: A (Created page with "Category:Pages requiring work") (current)
- 14:02, 31 January 2017 (diff | hist) . . (+17) . . N Category:Pages requiring work (Created page with "Category:Todo") (current)
- 03:36, 31 January 2017 (diff | hist) . . (+179) . . m Notes:Potentially invalid vertex scheme (current)
- 03:19, 31 January 2017 (diff | hist) . . (+1,615) . . N Notes:Potentially invalid vertex scheme (Created page with "__TOC__ ==Instance== <div style="float:right;margin:0px;margin-left:0.2em;"> {| class="wikitable" border="1" style="overflow:hidden;max-width:30em;margin:0px;" |- | <center><m...")
- 21:03, 29 January 2017 (diff | hist) . . (+8,765) . . Exercises:Saul - Algebraic Topology - 3/Exercise 3.2 (Done it! Needs a bit of copying-and-pasting to get rid of the notes, but done!)
- 23:52, 28 January 2017 (diff | hist) . . (+2,206) . . Exercises:Saul - Algebraic Topology - 3/Exercise 3.2 (Added notes of what to do)
- 23:40, 27 January 2017 (diff | hist) . . (+490) . . N Exercises:Saul - Algebraic Topology - 3/Exercise 3.2 (Created page with "<noinclude> ==Exercises== ===Exercise 3.2=== </noinclude>Suppose that {{Top.|X|J}} is a non-empty ''{{link|path-connected|topology}}'' topological space, equipped with a [...")
- 23:29, 27 January 2017 (diff | hist) . . (+55) . . m Exercises:Saul - Algebraic Topology - 3 (Forgot transclusion) (current)
- 23:29, 27 January 2017 (diff | hist) . . (+192) . . N Exercises:Saul - Algebraic Topology - 3 (Created page with "==Exercises== ===Exercise 3.2=== ===Exercise 3.3=== ===Exercise 3.10=== ==Notes== <references group="Note"/> ==Reference...")
- 13:29, 27 January 2017 (diff | hist) . . (+4,303) . . N Notes:Stone-Weierstrass theorem (Saving work) (current)
- 14:30, 26 January 2017 (diff | hist) . . (+1,656) . . N The ell p spaces (Created page with "{{Stub page|grade=A*|msg=Important page}} __TOC__ ==Definition== Let {{M|p\in[1,+\infty]:\eq\{x\in\overline{\mathbb{R} }\ \vert 1\le x\} }} be given. We define the {{M|\ell^p}...") (current)
- 14:02, 26 January 2017 (diff | hist) . . (+197) . . N User:Alec/Pages to do (Created page with "# \ell^p}} spaces ## \ell^1}} ## \ell^p}} ## \ell^\infty}} # The L p spaces|The {{M|L^p}} space...") (current)
- 13:54, 26 January 2017 (diff | hist) . . (+22) . . m User:Alec
- 13:51, 26 January 2017 (diff | hist) . . (+2,870) . . N Span (linear algebra) (Created page with "{{Stub page|grade=A*|msg=Demote once checked and fleshed out * Seriously '''I'm not even sure something on this page is better than nothing'''}} {{Dire page}} __TOC__ ==Defini...") (current)
- 13:34, 26 January 2017 (diff | hist) . . (+366) . . m User:Dipa (current)
- 13:17, 26 January 2017 (diff | hist) . . (+1,414) . . N Basis (linear algebra) (Created page with "{{Stub page|grade=A*|msg=Important page, how is this not done? Merge with Basis and coordinates * Demote as the page gets fleshed out}} __TOC__ ==Definition== Let {{M|(V,\...") (current)
- 12:22, 25 January 2017 (diff | hist) . . (+25) . . m Exercises:Saul - Algebraic Topology - 2/Exercise 2.5 (current)
- 12:19, 25 January 2017 (diff | hist) . . (-1) . . m Exercises:Saul - Algebraic Topology - 2/Exercise 2.5
- 12:14, 25 January 2017 (diff | hist) . . (+1,214) . . Exercises:Saul - Algebraic Topology - 2/Exercise 2.5 (Finishing proof)
- 15:00, 24 January 2017 (diff | hist) . . (+800) . . Notes:Delta complex (Changed rules, clarified a little)
- 14:45, 24 January 2017 (diff | hist) . . (+2,237) . . N Notes:Delta complex (Saving work)
- 23:19, 23 January 2017 (diff | hist) . . (+805) . . N User:Alec/Questions to do/Algebraic topology/From books (Created page with "==Questions== # Proposition 1.2 on page 2 (embarrassing) if the {{M|p}}-simplex, {{M|s}}, is the convex hull of {{M|x_0,\ldots,x_p}}, then every point of {{M|s}} has a dis...") (current)
- 23:13, 23 January 2017 (diff | hist) . . (+15) . . N User:Alec/Questions to do/Algebraic topology (Created page with "/From books") (current)
- 23:13, 23 January 2017 (diff | hist) . . (+26) . . m User:Alec/Questions to do (current)
- 22:57, 23 January 2017 (diff | hist) . . (+1,776) . . N Boundary (topology) (Created page with "{{Stub page|grade=A*|msg=Link to other pages then demote. Specifically: * Include in List of topological properties * Deprecate Closure, interior and boundary}} __TOC_...") (current)
- 15:45, 23 January 2017 (diff | hist) . . (+2,752) . . N Exercises:Saul - Algebraic Topology - 2/Exercise 2.5 (Saving work)
- 15:08, 23 January 2017 (diff | hist) . . (+134) . . N Exercises:Saul - Algebraic Topology - 2 (Created page with "==Exercises== ===Exercise 2.5=== {{/Exercise 2.5}} ==Notes== <references group="Note"/> ==References== <references/>") (current)
- 01:00, 23 January 2017 (diff | hist) . . (+1,727) . . Notes:CW-Complex (→Sphere example: Saving work) (current)
- 00:37, 23 January 2017 (diff | hist) . . (+590) . . Notes:CW-Complex (Saving work, added sphere)
- 22:36, 22 January 2017 (diff | hist) . . (+2,203) . . Notes:CW-Complex (Added 3rd book, about to add sphere example)
- 21:00, 22 January 2017 (diff | hist) . . (+5,466) . . N Notes:CW-Complex (Saving work)
- 16:38, 22 January 2017 (diff | hist) . . (+18) . . m Template:Open n-cell (current)
- 16:37, 22 January 2017 (diff | hist) . . (+18) . . Template:Open n-cell (Making it so you can change the letter by supplying an argument, eg m cell, 2 for a plural)
- 16:11, 20 January 2017 (diff | hist) . . (+314) . . N Torus (Created page with "{{Stub page|grade=A*|msg=Important, along with Real projective plane, sphere, so forth}} __TOC__ ==Definition== {{Todo|Needs work}} ==Homology== {{/Homol...") (current)
- 14:14, 20 January 2017 (diff | hist) . . (+1,185) . . N CW-complex (Created page with "{{Stub page|grade=A|msg=Leads to Delta-complex - very important for algebraic topology}} __TOC__ ==Definition== A ''CW-complex'' is a topological space {{Top.|X|J}} an...") (current)
- 13:40, 20 January 2017 (diff | hist) . . (+1,233) . . N Dipa/Help (Created page with "==Overview== This is a quick reference for how to do things that are not symbols, like matrices and stuff ==Left & Right== * Example {{C|<nowiki><mm>(\frac{a+b}{\sqrt{c} })</m...") (current)
- 14:19, 19 January 2017 (diff | hist) . . (+1,348) . . N Closed interval (Created page with "{{Stub page|grade=C|msg=Traditional stub page}} __TOC__ ==Definition== We define a ''closed interval'', denoted {{M|[a,b]}}, in {{M|\mathbb{R} }} as follows: * {{M|[a,b]:\eq\l...") (current)
- 12:03, 18 January 2017 (diff | hist) . . (0) . . m Exercises:Saul - Algebraic Topology - 1/Exercise 1.2 (Tee rather than top) (current)
- 11:59, 18 January 2017 (diff | hist) . . (+3) . . m Exercises:Saul - Algebraic Topology - 1/Exercise 1.2 (Typo missed Z)
- 11:57, 18 January 2017 (diff | hist) . . (+1,816) . . Exercises:Saul - Algebraic Topology - 1/Exercise 1.2 (Finishing off)
- 00:21, 18 January 2017 (diff | hist) . . (+4,208) . . Exercises:Saul - Algebraic Topology - 1/Exercise 1.2 (NEARLY THERE)
- 20:50, 17 January 2017 (diff | hist) . . (+7,974) . . Exercises:Saul - Algebraic Topology - 1/Exercise 1.2 (Saving work, bloody labourious)
- 18:46, 17 January 2017 (diff | hist) . . (0) . . m Exercises:Saul - Algebraic Topology - 1/Exercise 1.2/Lemmas (Alec moved page Exercises:Saul - Algebraic Topology - 1/Exercise 1.2/Exercises:Saul - Algebraic Topology - 1/Exercise 1.2/Lemmas to Exercises:Saul - Algebraic Topology - 1/Exercise 1.2/Lemmas without leaving a redirect: Opps) (current)
- 18:45, 17 January 2017 (diff | hist) . . (+1,908) . . Exercises:Saul - Algebraic Topology - 1/Exercise 1.2/Lemmas (Added lemmas)
- 17:59, 17 January 2017 (diff | hist) . . (+335) . . N Exercises:Saul - Algebraic Topology - 1/Exercise 1.2/Lemmas (Saving work)
- 15:36, 17 January 2017 (diff | hist) . . (+3,438) . . N Exercises:Saul - Algebraic Topology - 1/Exercise 1.2 (Saving work)
- 12:05, 17 January 2017 (diff | hist) . . (+2,230) . . N Topology induced by a metric (Saving work) (current)
- 11:34, 17 January 2017 (diff | hist) . . (+280) . . N Empty set (Created page with "{{Stub page|grade=A*|msg=DO THIS}} __TOC__ ==Definition== The empty set, denoted {{M|\emptyset}} is posited to exist by an axiom and is the set that contains no elements. It i...") (current)
- 11:33, 17 January 2017 (diff | hist) . . (+71) . . N Empty-set (Redirected page to Empty set) (current)
- 11:33, 17 January 2017 (diff | hist) . . (+71) . . N Emptyset (Redirected page to Empty set) (current)
- 11:32, 17 January 2017 (diff | hist) . . (+1) . . m Template:Emptyset (Typo in link) (current)
- 11:17, 17 January 2017 (diff | hist) . . (+37) . . m Metric topology (Adding to theorem category.) (current)
- 22:16, 16 January 2017 (diff | hist) . . (0) . . m The set of all open balls of a metric space are able to generate a topology and are a basis for that topology (Alec moved page Topology induced by a metric to The set of all open balls of a metric space are able to generate a topology and are a basis for that topology without leaving a redirect: Better name (this is a theorem, not defining the topology...) (current)
- 20:38, 16 January 2017 (diff | hist) . . (+1,139) . . The set of all open balls of a metric space are able to generate a topology and are a basis for that topology (Finishing proof)
- 20:27, 16 January 2017 (diff | hist) . . (0) . . m Given two open balls sharing the same centre but with differing radius then the one defined to have a strictly smaller radius is contained in the other (Alec moved page Given two open balls sharing the same centre the one defined to have a strictly smaller radius is contained in the other to [[Given two open balls sharing the same centre but with differing radius then the one defined to have a stri...) (current)
- 20:27, 16 January 2017 (diff | hist) . . (+165) . . N Given two open balls sharing the same centre the one defined to have a strictly smaller radius is contained in the other (Alec moved page Given two open balls sharing the same centre the one defined to have a strictly smaller radius is contained in the other to [[Given two open balls sharing the same centre but with differing radius then the one defined to have a stri...) (current)
- 20:25, 16 January 2017 (diff | hist) . . (+2,076) . . N Given two open balls sharing the same centre but with differing radius then the one defined to have a strictly smaller radius is contained in the other (Created page with "{{Stub page|grade=A*|msg=I cannot be bothered, the outline is here. * Precursor to: For any two open balls sharing the same centre point then one or both of them contains t...")
- 20:16, 16 January 2017 (diff | hist) . . (+5,876) . . N If the intersection of two open balls is non-empty then for every point in the intersection there is an open ball containing it in the intersection (Created page with "{{Stub page|grade=A*|msg=Elementary metric space theorem. Needed for proof of the metric topology (precursor to If the intersection of two open balls is non-empty then f...") (current)
- 17:45, 16 January 2017 (diff | hist) . . (+4,278) . . N An open ball contains another open ball centred at each of its points (Created page with "{{Stub page|grade=A*|msg=Elementary metric space theorem. Needed for proof of the metric topology (precursor to If the intersection of two open balls is non-empty then f...") (current)
- 17:36, 16 January 2017 (diff | hist) . . (+375) . . The relationship between logical implication and the subset relation (Marked as dire page, changed subset to \subseteq , added forall x in A[x in B] form, outlined proof of equivalence.) (current)
- 01:07, 16 January 2017 (diff | hist) . . (+3,036) . . The set of all open balls of a metric space are able to generate a topology and are a basis for that topology (SAVING WORK)
- 21:59, 15 January 2017 (diff | hist) . . (+872) . . Topology generated by a basis/Statement (Removed wrong version, added warning and note explaining.) (current)
- 21:32, 15 January 2017 (diff | hist) . . (+12) . . N Template:Ie (Created page with "''i.e.''") (current)
- 21:21, 15 January 2017 (diff | hist) . . (+913) . . Topology generated by a basis/Statement (Added note (and proof) for statement of condition 1.)
- 21:14, 15 January 2017 (diff | hist) . . (+475) . . Topology generated by a basis (Added note) (current)
- 21:14, 15 January 2017 (diff | hist) . . (-474) . . Topology generated by a basis/Statement (Moving note section)
- 20:55, 15 January 2017 (diff | hist) . . (+79) . . N Metric topology (Redirected page to Topology induced by a metric)
- 14:59, 15 January 2017 (diff | hist) . . (+31) . . N Template:Open n-cell (Created page with "cell}}")
- 14:59, 15 January 2017 (diff | hist) . . (+35) . . N Template:Closed n-cell (Created page with "cell}}") (current)
- 20:17, 14 January 2017 (diff | hist) . . (+157) . . m A compact and convex subset of Euclidean n-space with non-empty interior is a closed n-cell and its interior is an open n-cell (Title) (current)
- 20:16, 14 January 2017 (diff | hist) . . (+286) . . N A compact and convex subset of Euclidean n-space with non-empty interior is a closed n-cell and its interior is an open n-cell (Created page with "{{Stub page|grade=A|msg=Worth doing}} __TOC__ ==Statement== {{/Statement}} ==Proof== {{Requires proof|grade=A|msg=Good to do!}} ==See also== {{XXX|todo}} ==Note...")
- 20:14, 14 January 2017 (diff | hist) . . (+1,889) . . N A compact and convex subset of Euclidean n-space with non-empty interior is a closed n-cell and its interior is an open n-cell/Statement (Created page with "<noinclude> {{Stub page|grade=A|msg=Sort out interior and boundary stuff!}} ==Statement== </noinclude>Let {{M|X\in\mathcal{P}(\mathbb{R}^n)}} be an arbitrary subset of|subse...") (current)
- 19:58, 14 January 2017 (diff | hist) . . (+102) . . N Open n-cell (Redirected page to N-cell#Open .5Bilmath.5Dn.5B.2Filmath.5D-cell) (current)
- 19:58, 14 January 2017 (diff | hist) . . (+104) . . N Closed n-cell (Redirected page to N-cell#Closed .5Bilmath.5Dn.5B.2Filmath.5D-cell) (current)
- 19:57, 14 January 2017 (diff | hist) . . (+2,185) . . N N-cell (Created page with "{{DISPLAYTITLE:{{M|n}}-cell}}{{Stub page|grade=A|msg=Looking alright so far...}} __TOC__ ==Definitions== ===Closed {{M|n}}-cell=== A topological space, {{Top.|X|J}}, is a...") (current)
- 19:34, 14 January 2017 (diff | hist) . . (+3,095) . . N Exercises:Saul - Algebraic Topology - 1/Exercise 1.5 (Created page with "<noinclude> __TOC__ ==Exercises== ===Exercise 1.5=== </noinclude><div style="float:right;margin:0px;margin-left:0.2em;max-width:25em;"> {| class="wikitable" border="1" style="...") (current)
- 14:13, 13 January 2017 (diff | hist) . . (+381) . . N Exercises:Saul - Algebraic Topology - 1 (Created page with "__TOC__ ==Exercises== ==={{subpage|Exercise 1.1}}=== {{/Exercise 1.1}} ==={{subpage|Exercise 1.2}}=== {{/Exercise 1.2}} ==={{subpage|Exercise 1.3}}=== {{/Exercise 1.3}} ==={{s...") (current)
- 02:42, 13 January 2017 (diff | hist) . . (+1,000) . . N User:Alec/Questions to do/Functional analysis/From books (Created page with "<noinclude> ==Questions== </noinclude> # Are the norms, {{MM|\Vert f\Vert_\infty:\eq\mathop{\text{sup} }_{t\in[0,1]}(\vert f(t)\vert)}} and {{MM|\Vert f\Vert_1:\eq\int^1_0...") (current)
- 02:33, 13 January 2017 (diff | hist) . . (+17) . . N User:Alec/Questions to do/Functional analysis (Created page with "* /From books") (current)
- 02:33, 13 January 2017 (diff | hist) . . (+26) . . N User:Alec/Questions to do (Created page with "* /Functional analysis")
- 02:32, 13 January 2017 (diff | hist) . . (+26) . . m User:Alec
- 18:45, 8 January 2017 (diff | hist) . . (+442) . . m Order terminology (current)
- 03:04, 8 January 2017 (diff | hist) . . (+3,294) . . N Order terminology (Created page with "This page is to provide a summary of partial orders, strict partial orders and associated terminology. {{Stub page|grade=A*|msg=Useful page, could use fleshing out and...")
- 02:06, 8 January 2017 (diff | hist) . . (+48) . . N Relations (Redirected page to Relation)
- 06:40, 1 January 2017 (diff | hist) . . (+67) . . N Doctrine:Notation for sets of continuous maps (Created page with "{{Dire page}} See Index of notation for sets of continuous maps") (current)
- 06:20, 1 January 2017 (diff | hist) . . (+1,059) . . Index of notation for sets of continuous maps/Index (Adding spaces, compact case.) (current)
- 06:13, 1 January 2017 (diff | hist) . . (+57) . . Index of notation (→Index: Added C) (current)
- 06:13, 1 January 2017 (diff | hist) . . (+958) . . N Index of notation/C (Created page with "{| class="wikitable" border="1" |- ! Expression ! Status ! Meanings ! See also |- ! C(X,Y)}} {{Notation status|current}} | The set of continuous functions bet...") (current)
- 06:06, 1 January 2017 (diff | hist) . . (+277) . . N Index of notation for sets of continuous maps (Created page with "__TOC__ ==Overview== This page is to keep track of the pages used for spaces of continuous maps ==Index== {{/Index}} ==See also== * Doctrine:Notation for sets of...") (current)
- 06:05, 1 January 2017 (diff | hist) . . (+1,429) . . N Index of notation for sets of continuous maps/Index (Created page with "<noinclude> ==Index== </noinclude> # C(X,Y)}} - for topological spaces {{Top.|X|J}} and {{Top.|Y|K}}, {{M|C(X,Y)}} is the set of all continuous maps...")
- 05:55, 1 January 2017 (diff | hist) . . (+125) . . N C(X,Y) (Redirected page to The set of continuous functions between topological spaces) (current)
- 05:54, 1 January 2017 (diff | hist) . . (+91) . . N The reals (Redirected page to Real line)
- 05:27, 1 January 2017 (diff | hist) . . (+495) . . Algebra (disambiguation) (Putting disambiguation content here) (current)
- 05:26, 1 January 2017 (diff | hist) . . (+151) . . Algebra (linear algebra) (Cleaning it up!) (current)
- 04:16, 1 January 2017 (diff | hist) . . (+550) . . List of topological properties (Added closure)
- 04:15, 1 January 2017 (diff | hist) . . (+2,572) . . Dense (Adding temporary summary of forms in the table.) (current)
- 04:12, 1 January 2017 (diff | hist) . . (+606) . . List of topological properties (→Index: Added symbolic form of equiv 3 to density.)
- 04:07, 1 January 2017 (diff | hist) . . (+106) . . N Negation of logical and (Redirected page to Logical and#Negation) (current)
- 04:06, 1 January 2017 (diff | hist) . . (+2,837) . . N Logical and (Created page with "{{Stub page|grade=Z|msg=Unimportant as truth tables and the basic logical operators like {{C|and}}, {{C|or}} and {{C|not}} may be assumed}} __TOC__ ==Definition== Let {{M|A}}...") (current)
- 10:40, 30 December 2016 (diff | hist) . . (+111) . . N Closure (topology) (Redirected page to Closure of a set in a topological space) (current)
- 10:27, 30 December 2016 (diff | hist) . . (+504) . . Dense (This page is messy and doesn't show what ought to be shown, added link.)
- 10:25, 30 December 2016 (diff | hist) . . (+2,237) . . N List of topological properties (Created page with "{{Stub page|grade=A*|msg=Needs linking in to places. Because density is SPRAWLED all over the place right now}} __TOC__ ==Index== Here {{M|(X,\mathcal{J})}} is a topological...")
- 09:48, 30 December 2016 (diff | hist) . . (0) . . m Interior point (topology) (Alec moved page Interior point to Interior point (topology): Moved as I know of other interior point notations, leaving redirect for now) (current)
- 09:48, 30 December 2016 (diff | hist) . . (+39) . . N Interior point (Alec moved page Interior point to Interior point (topology): Moved as I know of other interior point notations, leaving redirect for now) (current)
- 09:36, 30 December 2016 (diff | hist) . . (+155) . . m The real numbers (Fixed title, fixed stupidly large info box, fixed infobox placement, added example for later use)
- 09:32, 30 December 2016 (diff | hist) . . (-7) . . m Real numbers (Preventing double redirect)
- 09:31, 30 December 2016 (diff | hist) . . (0) . . m The real numbers (Alec moved page The real numbers to Real line: Changing name)
- 09:31, 30 December 2016 (diff | hist) . . (+23) . . N Real line (Alec moved page The real numbers to Real line: Changing name)
- 09:29, 30 December 2016 (diff | hist) . . (+145) . . m Hausdorff space (Added reminder to include something)
- 09:28, 30 December 2016 (diff | hist) . . (+920) . . Topology (Added examples, see also, reference, minor fixes.) (current)
- 09:21, 30 December 2016 (diff | hist) . . (+1,345) . . N Finite complement topology (Created page with "{{Stub page|grade=D|msg=More useful as an example than anything else}} __TOC__ ==Definition== Let {{M|X}} be an arbitrary set. There is a topology, {{M|\mathcal{J} }}, we...") (current)
- 08:17, 28 December 2016 (diff | hist) . . (+3,011) . . Weierstrass approximation theorem (Added latter part of proof - MARKED AS CRAP PAGE) (current)
- 15:36, 24 December 2016 (diff | hist) . . (-92) . . m Formal linear combination/Definition (Removing test box accidentally left in) (current)
- 15:35, 24 December 2016 (diff | hist) . . (+362) . . N Formal linear combination (Created page with "{{Stub page|grade=B|msg=Needs fleshing out?}} __TOC__ ==Definition== {{/Definition}} ==See also== * Free vector space generated by - for which this is a pr...") (current)
- 15:33, 24 December 2016 (diff | hist) . . (+3,523) . . N Formal linear combination/Definition (Created page with "<noinclude> __TOC__ ==Definition== </noinclude>Let {{M|S}} be a set and let {{M|\mathbb{F} }} be a field<ref group="Note">We could probably step back and define this the s...")
- 15:00, 24 December 2016 (diff | hist) . . (+1,801) . . N Free vector space generated by (Saving first version) (current)
- 21:58, 22 December 2016 (diff | hist) . . (+2,617) . . N Tensor product of tensors (Created page with "{{Provisional page|grade=A|msg=Not sure on title yet, it is clear that "this" is a thing}} : {{Warning|This is a notes-grade page - the content is not as reliable as other pag...") (current)
- 21:33, 22 December 2016 (diff | hist) . . (0) . . m Tensor product of vector spaces (Alec moved page Tensor product to Tensor product of vector spaces without leaving a redirect: There's another tensor product - at 360 views ish) (current)
- 21:04, 21 December 2016 (diff | hist) . . (+2,880) . . N Notes:Concrete tensor product (Saving work) (current)
- 22:29, 20 December 2016 (diff | hist) . . (+115) . . N Vector space of linear maps between spaces (Redirected page to The vector space of all linear maps between two spaces) (current)
- 22:07, 20 December 2016 (diff | hist) . . (+1) . . m Characteristic property of the tensor product/Statement (→Statement: typo) (current)
- 21:46, 20 December 2016 (diff | hist) . . (+1,582) . . N Index of notation/L (Created page with "{| class="wikitable" border="1" |- ! colspan="2" | Expression ! Status ! Meanings ! See also |- ! rowspan="6" | {{M|L}}<br/>(Linear Algebra) | {{M|L(V,W)}} {{Notation status|c...") (current)
- 21:40, 20 December 2016 (diff | hist) . . (+76) . . N Multilinear maps (Redirected page to Multilinear map) (current)
- 21:39, 20 December 2016 (diff | hist) . . (+69) . . N Linear functional (Redirected page to Covector) (current)
- 21:39, 20 December 2016 (diff | hist) . . (-9) . . m Linear functionals (Linear functional is itself a redirect page! This needs to point there instead) (current)
- 21:38, 20 December 2016 (diff | hist) . . (+78) . . N Linear functionals (Redirected page to Linear functional)
- 20:44, 20 December 2016 (diff | hist) . . (+71) . . N Linear maps (Redirected page to Linear map) (current)
- 17:57, 20 December 2016 (diff | hist) . . (+57) . . m Index of notation (→Index)
- 00:28, 20 December 2016 (diff | hist) . . (+28) . . Lebesgue measure (Cleaned up formatting and mathematical markup, preparation for refactoring) (current)
- 23:54, 19 December 2016 (diff | hist) . . (+980) . . Doctrine:Measure theory terminology (Added overview)
- 17:20, 18 December 2016 (diff | hist) . . (+1,121) . . The image of a compact set is compact (Added proof) (current)
- 18:35, 17 December 2016 (diff | hist) . . (+181) . . m Basis for a topology (current)
- 18:35, 17 December 2016 (diff | hist) . . (+4,536) . . N A function is continuous if and only if the pre-image of every basis element is open (Created page with "{{Stub page|grade=B|msg=Important for functional analysis.<br/> '''Work required: ''' # Extend to the "{{M|\epsilon}}-{{M|\delta}}" form of continuity, with metric spaces. Tha...") (current)
- 13:21, 17 December 2016 (diff | hist) . . (+324) . . m A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections (current)
- 13:17, 17 December 2016 (diff | hist) . . (0) . . N File:Panddsystemissigmaalgebra.JPG (current)
- 12:43, 17 December 2016 (diff | hist) . . (-183) . . m Every set in the Dynkin system generated by is also in the sigma-algebra generated by (current)
- 12:39, 17 December 2016 (diff | hist) . . (0) . . m Every set in the Dynkin system generated by is also in the sigma-algebra generated by (Alec moved page Every set in the Dynkin system generated by is also in the sigma-algebra generated by a system of sets to Every set in the Dynkin system generated by is also in the sigma-algebra generated by without leaving a redirect: Shorteni...)
- 12:39, 17 December 2016 (diff | hist) . . (0) . . m Every set in the Dynkin system generated by is also in the sigma-algebra generated by (Alec moved page A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections/Proof to Every set in the Dynkin system generated by is also in the sigma-algebra generated by a system of sets without l...)
- 12:31, 17 December 2016 (diff | hist) . . (+150) . . N A collection of subsets is a sigma-algebra if and only if it is both a p-system and a d-system (Redirected page to A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections) (current)
- 15:16, 16 December 2016 (diff | hist) . . (+161) . . Dynkin system generated by (Added refactor notice, page needs updating) (current)
- 15:12, 16 December 2016 (diff | hist) . . (+3,067) . . N The intersection of an arbitrary family of Dynkin systems is itself a Dynkin system (Created page with "{{Stub page|grade=A|msg=Needed for Measure Theory * Demote once linked in}}{{Extra Maths}} __TOC__ ==Statement== Let {{M|\{\mathcal{D}_\alpha\}_{\alpha\in I} }} be an arbitr...") (current)
- 14:38, 16 December 2016 (diff | hist) . . (0) . . m Dynkin systems (Typo) (current)
- 14:38, 16 December 2016 (diff | hist) . . (+57) . . N Dynkin systems (Redirected page to Dynkin system)
- 10:49, 14 December 2016 (diff | hist) . . (+670) . . Topological retraction (This page is crap, added refactor notice, proof of main claim, note to self) (current)
- 08:27, 14 December 2016 (diff | hist) . . (+2,260) . . N If the composition of two functions is a bijection then the initial map is injective and the latter map is surjective (Created page with "{{Stub page|grade=B|msg=Unimportant but useful theorem, good to factor out. * '''It has been done somewhere, sometime, but I cannot remember where!'''}} __TOC__ ==Statement==...") (current)
- 07:35, 14 December 2016 (diff | hist) . . (+2) . . m A continuous map induces a homomorphism on fundamental groups (→Well-definedness of {{M|\varphi_*}}: Added space for word wrapping) (current)
- 05:56, 14 December 2016 (diff | hist) . . (+707) . . N Homeomorphic topological spaces have isomorphic fundamental groups/Statement (Created page with "<noinclude> ==Statement== </noinclude>Let {{Top.|X|J}} and {{Top.|Y|K}} be ''homeomorphic'' topological spaces, let {{M|p\in X}} be given (this will be the base point...") (current)
- 05:51, 14 December 2016 (diff | hist) . . (+1,078) . . N Homeomorphic topological spaces have isomorphic fundamental groups (Created page with "{{Stub page|grade=A|msg=Review and demote}} __TOC__ ==Statement== {{/Statement}} ==Proof== The idea is to recall that the definition of a categorical isomorph...") (current)
- 05:46, 14 December 2016 (diff | hist) . . (+782) . . N The induced fundamental group homomorphism of the identity map is the identity map of the fundamental group/Statement (Created page with "<noinclude> ==Statement== </noinclude>Let {{Top.|X|J}} be a topological space, let {{M|\text{Id}_X:X\rightarrow X}} be the identity map, given by {{M|\text{Id}_X:x\map...") (current)
- 05:40, 14 December 2016 (diff | hist) . . (+648) . . N The induced fundamental group homomorphism of the identity map is the identity map of the fundamental group (Created page with "{{Stub page|grade=A|msg=Demote once fleshed out}} __TOC__ ==Statement== {{/Statement}} ==Proof== The proof is simple. * Let {{M|[f]\in\pi_1(X,p)}} be given. **...") (current)
- 05:01, 14 December 2016 (diff | hist) . . (+240) . . m The induced fundamental group homomorphism of a composition of continuous maps is the same as the composition of their induced homomorphisms/Statement (current)
- 04:59, 14 December 2016 (diff | hist) . . (+861) . . N The induced fundamental group homomorphism of a composition of continuous maps is the same as the composition of their induced homomorphisms (Created page with "{{Stub page|grade=A|msg=Review and demote as needed}} __TOC__ ==Statement== {{/Statement}} ==Proof== This is a usual {{M|\text{LHS}\eq\text{RHS} }} proof: * Let...") (current)
- 04:38, 14 December 2016 (diff | hist) . . (+601) . . N The induced fundamental group homomorphism of a composition of continuous maps is the same as the composition of their induced homomorphisms/Statement (Created page with "<noinclude> ==Statement== </noinclude>Let {{Top.|X|J}}, {{Top.|Y|K}} and {{Top.|Z|H}} be topological spaces, let {{M|p\in X}} be any fixed point (to act as a base point fo...")
- 04:28, 14 December 2016 (diff | hist) . . (+2,970) . . N Fundamental group homomorphism induced by a continuous map (Just need to fill in the red) (current)
- 04:26, 14 December 2016 (diff | hist) . . (+12) . . m Topological retraction (Fixing link after page moved)
- 04:26, 14 December 2016 (diff | hist) . . (0) . . m Types of topological retractions (Alec moved page Types of retractions to Types of topological retractions without leaving a redirect: Better name, this may come up elsewhere.) (current)
- 04:25, 14 December 2016 (diff | hist) . . (+95) . . N Retract (topology) (Redirected page to Topological retraction) (current)
- 04:03, 14 December 2016 (diff | hist) . . (-3) . . Induced homomorphism on fundamental groups (Redirecting to definition, rather than theorem) (current)
- 04:02, 14 December 2016 (diff | hist) . . (+994) . . A continuous map induces a homomorphism on fundamental groups (Added some content, made clear this is a proof page, not a definition page.)
- 03:56, 14 December 2016 (diff | hist) . . (-5) . . Induced homomorphism on fundamental groups (Redirecting to new page.)
- 03:55, 14 December 2016 (diff | hist) . . (+95) . . A continuous map induces a homomorphism between fundamental groups (It turns out I'd already made a page for the homomorphism induced by continuous maps, redirecting it to "new" one) (current)
- 08:19, 13 December 2016 (diff | hist) . . (+23) . . m Deformation retraction/Definition (Fixing broken subpage link) (current)
- 08:18, 13 December 2016 (diff | hist) . . (+35) . . m Types of topological retractions (Fixing subpage links, they broke when the page was moved)
- 08:04, 13 December 2016 (diff | hist) . . (-21) . . m Topological retraction (Fixing subpage links, they broke when the page was moved)
- 08:04, 13 December 2016 (diff | hist) . . (0) . . m Topological retraction/Definition (Alec moved page Retraction/Definition to Topological retraction/Definition without leaving a redirect: Retraction is a thing in category theory too) (current)
- 08:04, 13 December 2016 (diff | hist) . . (0) . . m Topological retraction (Alec moved page Retraction to Topological retraction without leaving a redirect: Retraction is a thing in category theory too)
- 07:12, 13 December 2016 (diff | hist) . . (+181) . . A continuous map induces a homomorphism on fundamental groups (Using diagram template - added proof, nearly finished)
- 07:00, 13 December 2016 (diff | hist) . . (+495) . . Template:Highlighter template (Overhaul to use highlighter template - it fills in the parameters based on data) (current)
- 06:54, 13 December 2016 (diff | hist) . . (+70) . . m Template:Highlighter (Markcol now uses an if so defaults can be found and s does bgcol) (current)
- 06:49, 13 December 2016 (diff | hist) . . (+664) . . N Template:PageOrDefault (Created page with "<noinclude> ==Description== {{C|PageOrDefault}} evaluates to the transclusion of a page - ''if it exists'' - otherwise it returns the default. ==Examples== # {{C|<nowiki>{{Pag...") (current)
- 06:19, 13 December 2016 (diff | hist) . . (-58) . . m Template:Highlighter (Removing ''text'' as an alias for ''msg'' parameter)
- 06:08, 13 December 2016 (diff | hist) . . (+31) . . m Template:Highlighter (Using if statement to decide to display default, as an empty parameter still counts as it being set apparently)
- 06:01, 13 December 2016 (diff | hist) . . (+247) . . m Template:Highlighter (Removed style during testing, adding note)
- 05:59, 13 December 2016 (diff | hist) . . (+1,161) . . N Template:Highlighter (Created page with "<span style="background-color:{{{bgcol|#FAFAFA}}};padding-left:5px;padding-right:5px;<!-- -->{{#if:{{{marktext|}}}||border-left:5px solid {{{markcol|#DADADA}}};}}<!-- -->"><...")
- 04:48, 13 December 2016 (diff | hist) . . (0) . . m Template:Diagram (You must provide your own math tags) (current)
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