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- * [[Topological space]] - '''DONE''' - [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 13:51, * [[Topological space/Definition]] - '''DONE''' - [[User:Alec|Alec]] ([[User talk:Alec|talk4 KB (404 words) - 21:36, 30 September 2016
- 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
- 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 finite1 KB (187 words) - 14:14, 20 January 2017
- ...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> a10 KB (1,736 words) - 01:00, 23 January 2017
- ...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
- 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 rem10 KB (1,664 words) - 12:43, 1 March 2017
- ...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|grou8 KB (1,299 words) - 13:33, 15 March 2017