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• Site projects:Patrolling topology/Task list
  * [[Topological space]] - '''DONE''' - [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 13:51, * [[Topological space/Definition]] - '''DONE''' - [[User:Alec|Alec]] ([[User talk:Alec|talk
  4 KB (404 words) - 21:36, 30 September 2016
• Exercises:Mond - Topology - 2/Section B/Question 6
  I only claim to find a [[topological immersion]] - the result is not a [[homeomorphism]] as it isn't a [[bijecti ...wer. We then align it up and "union" it with the Mobius band to obtain a [[topological immersion]] of {{M|\mathbb{RP}^2}} ]]
  7 KB (1,331 words) - 12:27, 19 October 2016
• CW-complex
  A ''CW-complex'' is a [[topological space]] {{Top.|X|J}} and a collection of ''[[disjoint]]'' [[open cells]] ([ #* {{M|f_\alpha}} maps [[Boundary (topology)|{{M|\partial\overline{\mathbb{B}^n} }}]] is mapped into a finite
  1 KB (187 words) - 14:14, 20 January 2017
• Notes:CW-Complex
  ...disjoint]]'' [[open cell|open cells]], {{M|\{e_\alpha\}_{\alpha\in I} }}, with {{M|X\eq\bigcup_{\alpha\in I}e_\alpha}}, such that: ...to look at the association of "onto" with "surjection" and associate into with "injection" - I mention this here to record Munkres' exact phrasing</ref> a
  10 KB (1,736 words) - 01:00, 23 January 2017
• Exercises:Saul - Algebraic Topology - 3/Exercise 3.2
  ...empty ''{{link|path-connected|topology}}'' [[topological space]], equipped with a [[Delta-complex|{{M|\Delta}}-complex]] structure. Show, directly from the ...of {{M|1}}-simplices involved in {{M|X}}, and {{M|n_\alpha\in\mathbb{Z} }} with {{M|n_\alpha\neq 0}} for only finitely many of the {{M|\alpha\in I_1}}
  13 KB (2,312 words) - 06:33, 1 February 2017
• Exercises:Saul - Algebraic Topology - 7/Exercise 7.6
  To calculate the homology groups of {{M|X}} we must start by computing the boundary of the generators (which are extended to group homomorphisms on free Abelia ** Calculated by starting with just the first vector, {{M|\partial_1(\alpha)}}, going over each of the rem
  10 KB (1,664 words) - 12:43, 1 March 2017
• Exercises:Saul - Algebraic Topology - 9/Exercise 9.7
  ...s not a [[topological n-manifold with boundary|topological 3-manifold with boundary]]. First we consider {{M|\crp}} as a [[topological space]] and work out some ''[[fundamental group]]'' {{link|isomorphism|grou
  8 KB (1,299 words) - 13:33, 15 March 2017