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From Maths
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- 05:23, 15 February 2015 (diff | hist) . . (-5) . . m Compactness
- 05:22, 15 February 2015 (diff | hist) . . (+582) . . m Compactness
- 05:07, 15 February 2015 (diff | hist) . . (+321) . . m Subspace topology
- 05:07, 15 February 2015 (diff | hist) . . (-3) . . m Template:M
- 04:57, 15 February 2015 (diff | hist) . . (-21) . . m Closed set
- 04:56, 15 February 2015 (diff | hist) . . (-34) . . m Template:M
- 04:55, 15 February 2015 (diff | hist) . . (+34) . . m Template:M
- 04:54, 15 February 2015 (diff | hist) . . (-41) . . m Template:M
- 04:53, 15 February 2015 (diff | hist) . . (+82) . . m Closed set
- 04:49, 15 February 2015 (diff | hist) . . (+167) . . N Closed set (Created page with "A closed set in a topological space <math>(X,\mathcal{J})</math> is a set <math>A</math> where <math>X-A</math> is open. {{Definition|Topology}}")
- 04:47, 15 February 2015 (diff | hist) . . (+748) . . m Compactness
- 19:54, 14 February 2015 (diff | hist) . . (-9) . . m Commutativity of intersection
- 19:53, 14 February 2015 (diff | hist) . . (+555) . . m Commutativity of intersection
- 19:47, 14 February 2015 (diff | hist) . . (+476) . . m Connected (topology)
- 00:32, 14 February 2015 (diff | hist) . . (+16) . . m Surjection
- 19:27, 13 February 2015 (diff | hist) . . (+1) . . m Compactness
- 18:51, 13 February 2015 (diff | hist) . . (+61) . . N Commutativity of intersection (Created page with "<math>A\cap B=B\cap A</math> {{Todo}} {{Theorem|Set Theory}}")
- 18:46, 13 February 2015 (diff | hist) . . (+281) . . m The relationship between logical implication and the subset relation
- 18:42, 13 February 2015 (diff | hist) . . (+3) . . m The relationship between logical implication and the subset relation
- 18:37, 13 February 2015 (diff | hist) . . (+15) . . m Compactness
- 18:35, 13 February 2015 (diff | hist) . . (0) . . m Nabla (current)
- 18:30, 13 February 2015 (diff | hist) . . (-1) . . m Nabla
- 18:14, 13 February 2015 (diff | hist) . . (+117) . . m The intersection of sets is a subset of each set
- 18:13, 13 February 2015 (diff | hist) . . (+550) . . N The intersection of sets is a subset of each set (Created page with "==Theorem== That <math>A\cap B\subset A</math> Of course by commutivity of <math>\cap</math> we have <math>A\cap B\subset B</math> (as <math>...")
- 18:07, 13 February 2015 (diff | hist) . . (+1,470) . . m Compactness
- 17:45, 13 February 2015 (diff | hist) . . (0) . . m Compactness
- 17:44, 13 February 2015 (diff | hist) . . (+718) . . m Compactness
- 17:37, 13 February 2015 (diff | hist) . . (+49) . . m Compactness
- 17:35, 13 February 2015 (diff | hist) . . (+371) . . m Compactness
- 16:21, 13 February 2015 (diff | hist) . . (+177) . . m Topology
- 16:19, 13 February 2015 (diff | hist) . . (+101) . . N The relationship between logical implication and the subset relation (Created page with "The relation states that <math>[A\subset B]\iff[x\in A\implies x\in B]</math> {{Theorem|Set Theory}}")
- 16:17, 13 February 2015 (diff | hist) . . (+253) . . m Continuity definitions are equivalent
- 16:13, 13 February 2015 (diff | hist) . . (+2,110) . . m Continuity definitions are equivalent
- 15:47, 13 February 2015 (diff | hist) . . (+23) . . m Continuity definitions are equivalent
- 15:46, 13 February 2015 (diff | hist) . . (+2) . . m Template:Definition
- 15:45, 13 February 2015 (diff | hist) . . (+244) . . N Template:Theorem Of (Created page with "<includeonly> Category:Theorems {{#if: {{{1|}}} | [[Category:{{{1}}} Theorems]] | }} {{#if: {{{1|}}} | [[Category:{{{1}}}]] | }} {{#if: {{{2|}}} | Category:{{{2}}} Theor...")
- 15:41, 13 February 2015 (diff | hist) . . (-15) . . m Continuous map
- 15:40, 13 February 2015 (diff | hist) . . (+90) . . N Continuity definitions are equivalent (Created page with "{{Todo|Theorem B16 in Introduction to topological manifolds is a good guide to structure}}")
- 15:39, 13 February 2015 (diff | hist) . . (+1,364) . . N Motivation for topology (Created page with "This is the most important thing on this Wiki probably, the motivation for topology. Recall the definition of continuity, on a [[Metric space|metric space]...") (current)
- 14:51, 13 February 2015 (diff | hist) . . (+439) . . N Quotient topology (Created page with "==Definition== If <math>(X,\mathcal{J})</math> is a topological space, <math>A</math> is a set, and <math>p:(X,\mathcal{J})\rightarrow A</math> is a Su...")
- 14:34, 13 February 2015 (diff | hist) . . (+453) . . N Subspace topology (Created page with " ==Definition== We define the subspace topology as follows. Given a topological space <math>(X,\mathcal{J})</math> and any <math>Y\subset X</math> we ca...")
- 14:23, 13 February 2015 (diff | hist) . . (+330) . . N Compactness (Created page with " ==Definition== A topological space is compact if every open cover (often denoted <math>\mathcal{A}</math>) of <math>X</math> contains...")
- 14:09, 13 February 2015 (diff | hist) . . (+230) . . m Connected (topology)
- 14:06, 13 February 2015 (diff | hist) . . (+18) . . m Open set
- 14:04, 13 February 2015 (diff | hist) . . (+127) . . m Open set
- 14:03, 13 February 2015 (diff | hist) . . (+433) . . N Connected (topology) (Created page with " ==Definition== A topological space <math>(X,\mathcal{J})</math> is connected if there is no separation of <math>X</math> ===Separation=== This belongs...")
- 13:55, 13 February 2015 (diff | hist) . . (+31) . . m Dual vector space
- 13:31, 13 February 2015 (diff | hist) . . (+168) . . N Dual vector space (Created page with "Here a vector space is denoted as <math>(V,K)</math> where <math>K</math> is the field the vector space is over. The Dual space <math>V^*</math> is defined as follows:")
- 00:53, 13 February 2015 (diff | hist) . . (+143) . . N Surjection (Created page with "Surjective is onto - for <math>f:A\rightarrow B</math> every element of <math>B</math> is mapped onto from at least one thing in <math>A</math>")
- 00:43, 13 February 2015 (diff | hist) . . (-2) . . m Template:Definition
- 00:35, 13 February 2015 (diff | hist) . . (+37) . . m Limit point
- 00:28, 13 February 2015 (diff | hist) . . (+1,380) . . N Continuous map (Created page with "{{Definition|Topology|Metric Space}} ==First form== The first form: <math>f:A\rightarrow B</math> is continuous at <math>a</math> if:<br /> <math>\forall\epsilon>0\exists\de...")
- 23:57, 12 February 2015 (diff | hist) . . (+25) . . m Main Page
- 23:56, 12 February 2015 (diff | hist) . . (+1,471) . . N Nabla (Created page with "{{Definition}} ==Definition== <math>\nabla(\ )=\mathbf{i}\frac{\partial(\ )}{\partial x}+\mathbf{j}\frac{\partial(\ )}{\partial y}+\mathbf{k}\frac{\partial(\ )}{\partial z}</...")
- 22:35, 12 February 2015 (diff | hist) . . (0) . . m Metric space (Silly error)
- 21:15, 12 February 2015 (diff | hist) . . (+794) . . N Limit point (Created page with "{{Definition|Topology|Metric Space}} ==Definition== ===Common form=== For a Topological space <math>(X,\mathcal{J})</math>, <math>x\in X</math> is a limit point of <math>...")
- 21:14, 12 February 2015 (diff | hist) . . (+44) . . m Metric space
- 20:57, 12 February 2015 (diff | hist) . . (0) . . m Topological space (Alec moved page Topological Space to Topological space without leaving a redirect)
- 20:51, 12 February 2015 (diff | hist) . . (+30) . . m Open ball
- 20:46, 12 February 2015 (diff | hist) . . (+1,334) . . N Metric space (Created page with " ==Definition of a metric space== A metric space is a set <math>X</math> coupled with a "distance function" <math>d:X\times X\rightarrow\mathbb{R}</math> with the properties...")
- 20:28, 12 February 2015 (diff | hist) . . (+87) . . N Category:Todo (Created page with "Use the "Todo" (with an optional message) template to register things in this category.")
- 20:27, 12 February 2015 (diff | hist) . . (+508) . . N Open ball (Created page with "{{Definition|Topology|Metric Space}} For a metric space <math>(X,d)</math> an "open ball" of radius <math>r</math> centred at <math>a</math> is the set <math...")
- 19:54, 12 February 2015 (diff | hist) . . (+44) . . m Main Page
- 19:53, 12 February 2015 (diff | hist) . . (+71) . . N Template:Todo (Created page with "<includeonly> ---- TODO: {{{1|}}} Category:Todo ---- </includeonly>")
- 19:30, 12 February 2015 (diff | hist) . . (+566) . . N Open set (Created page with "{{Definition|Topology|Metric Space}} Here <math>(X,d)</math> denotes a metric space, and <math>B_r(x)</math> the open ball centred at <math>x</math> of radius <...")
- 19:07, 12 February 2015 (diff | hist) . . (+920) . . N Topological space (Created page with "A topological space is a set <math>X</math> coupled with a topology on <math>X</math> denoted <math>\mathcal{J}\subset\mathcal{P}(X)</math>, which is a collection of subsets o...")
- 18:58, 12 February 2015 (diff | hist) . . (+88) . . m Template:Definition
- 18:56, 12 February 2015 (diff | hist) . . (+44) . . m Category:Topology Definitions
- 18:55, 12 February 2015 (diff | hist) . . (+666) . . N Injection (Created page with "An injective function is 1:1, but not nessasarally onto. For <math>f:X\rightarrow Y</math> every element of <math>X</math> is mapped to an element of <math>Y</...")
- 18:48, 12 February 2015 (diff | hist) . . (+42) . . N Category:Definitions (Created page with "This includes all definitions on the site.")
- 18:48, 12 February 2015 (diff | hist) . . (+7) . . m Power set
- 18:46, 12 February 2015 (diff | hist) . . (+28) . . m Template:M
- 18:37, 12 February 2015 (diff | hist) . . (-26) . . m Template:M
- 18:34, 12 February 2015 (diff | hist) . . (+10) . . m Template:M
- 18:34, 12 February 2015 (diff | hist) . . (-24) . . m Template:M
- 18:33, 12 February 2015 (diff | hist) . . (+52) . . m Template:M
- 18:29, 12 February 2015 (diff | hist) . . (-27) . . m Template:M
- 18:25, 12 February 2015 (diff | hist) . . (+29) . . m Template:M
- 18:16, 12 February 2015 (diff | hist) . . (0) . . m Template:M
- 18:15, 12 February 2015 (diff | hist) . . (+22) . . m Template:M
- 18:13, 12 February 2015 (diff | hist) . . (+9) . . m Power set
- 18:13, 12 February 2015 (diff | hist) . . (+50) . . N Template:M (Helper template)
- 18:09, 12 February 2015 (diff | hist) . . (+8) . . m Homeomorphism
- 18:07, 12 February 2015 (diff | hist) . . (+16) . . Bijection
- 18:06, 12 February 2015 (diff | hist) . . (-2) . . Template:Definition
- 18:06, 12 February 2015 (diff | hist) . . (+2) . . Template:Definition
- 18:05, 12 February 2015 (diff | hist) . . (0) . . Template:Definition
- 18:04, 12 February 2015 (diff | hist) . . (0) . . Template:Definition
- 18:01, 12 February 2015 (diff | hist) . . (+2) . . Template:Definition
- 17:59, 12 February 2015 (diff | hist) . . (-11) . . Homeomorphism
- 17:58, 12 February 2015 (diff | hist) . . (+29) . . Template:Definition
- 17:56, 12 February 2015 (diff | hist) . . (+134) . . N Template:Definition (Created page with "Category:Definitions {{#if {{{1}}} | [[Category::{{{1}}} Definitions]] | }} {{#if {{{2}}} | [[Category::{{{2}}} Definitions]] | }}")
- 17:50, 12 February 2015 (diff | hist) . . (+24) . . N Category:Topology Definitions (Created page with "Category:Definitions")
- 17:50, 12 February 2015 (diff | hist) . . (+36) . . Homeomorphism
- 17:47, 12 February 2015 (diff | hist) . . (+476) . . N Power set (Created page with "The power set of a set <math>X</math> is denoted by <math>\mathcal{P}(X)</math>, sometimes <math>2^X</math> (a number to the power of a set is not defined (as it cannot be use...")
- 17:43, 12 February 2015 (diff | hist) . . (+481) . . N Bijection (Created page with "A bijection is a 1:1 map. A map which is both injective and surjective. It has the useful property that for <math>f:X\rightarrow Y</math> that <...")
- 17:37, 12 February 2015 (diff | hist) . . (+388) . . N Homeomorphism (Created page with "Not to be confused with "Homomorphism" ==Topological Homeomorphism== A topological homeomorphism is bijective map between two Topological Space|topological s...")
- 17:31, 12 February 2015 (diff | hist) . . (+58) . . N Topology (Created page with "This is the root page for Topology. Category:Topology")
- 17:28, 12 February 2015 (diff | hist) . . (+13) . . Main Page
- 17:23, 12 February 2015 (diff | hist) . . (-528) . . Main Page
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