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• Notes:CW-Complex
  ...record Munkres' exact phrasing</ref> a finite union of open cells, each of dimension (strictly) less than {{M|m}}
  10 KB (1,736 words) - 01:00, 23 January 2017
• Exercises:Saul - Algebraic Topology - 2/Exercise 2.5
  # Showing {{M|\mathbb{Q} }} does not have rank ("dimension" as cardinality of "basis") {{M|\ge 2}} - or an infinite basis.
  4 KB (713 words) - 12:22, 25 January 2017
• Exercises:Saul - Algebraic Topology - 3/Exercise 3.2
  ...ton}} of {{M|X}}. Which made from all the simplices involved in {{M|X}} of dimension {{M|\le n}}. So {{M|X^1}} is itself a complex made up of all the 0 and 1 si
  13 KB (2,312 words) - 06:33, 1 February 2017
• Simplex
  * '''{{link|Dimension|simplex}}:''' {{M|\text{Dim}(\sigma):\eq\vert\{a_0,\ldots,a_n\}\vert-1}}<re
  3 KB (548 words) - 14:03, 31 January 2017
• Real projective space
  ...in\mathcal{P}(\mathbb{R}^{n+1})\ \vert\ (L,\mathbb{R})\text{ is an 1-} }}[[dimension (vector space)|{{M|\text{dimensional} }}]]{{M|\text{ vector } }}[[vector su
  2 KB (289 words) - 09:08, 18 February 2017
• Abstract simplicial complex
  * We make the following definitions regarding [[dimension]] of an abstract simplicial complex: ...A\in\mathcal{S} }}, we define: {{M|\text{Dim}(A):\eq\vert A\vert-1}} - the dimension of {{M|A}} is one less than the number of items in the simplex considered a
  3 KB (428 words) - 11:54, 19 February 2017
• Locally Euclidean topological space
  : {{Caveat|Need to do locally euclidean '''of dimension {{n}}'''!}}
  4 KB (667 words) - 14:32, 20 February 2017
• Locally euclidean of dimension n
  #REDIRECT [[Locally Euclidean topological space of dimension n]]
  137 B (15 words) - 12:37, 21 February 2017
• Locally Euclidean of dimension n
  #REDIRECT [[Locally Euclidean topological space of dimension n]]
  137 B (15 words) - 12:38, 20 February 2017
• Locally Euclidean topological space of dimension n
  {{DISPLAYTITLE:Locally Euclidean topological space of dimension {{N}}}} * I would have thought that a "locally euclidean of dimension n" space is really just something such that there exists an {{N}} for all p
  2 KB (393 words) - 12:40, 21 February 2017
• Exercises:Saul - Algebraic Topology - 8/Exercise 8.5
  ...initions of [[locally euclidean of dimension n|locally euclidean (of fixed dimension)]], they vary as follows:
  7 KB (1,330 words) - 15:25, 7 March 2017
• Graph (topological manifold)
  ...fold|topological {{n|manifold}}]] (literally a [[topological manifold]] of dimension {{M|n}}) * [[Locally Euclidean of dimension n|Locally Euclidean of dimension {{n}}]] - which we will now show
  2 KB (369 words) - 12:53, 17 March 2017
• If two charts are smoothly compatible with an atlas then they are smothly compatible with each other
  ...we speak of {{M|\mathbb{R}^m}} and {{M|\mathbb{R}^n}}, this is because the dimension of [[connected components]] may vary from component to component, in this c
  6 KB (1,182 words) - 13:38, 1 April 2017
• Notes:Grid iteration
  ...y to using this system in higher dimensions as at 20 we'd increase the 3rd dimension to place our 2d grid there, see gif below]] ...higher dimensions (returning to the start, where we would increase the 4th dimension to create a distinct point, if we did so here)
  3 KB (468 words) - 19:23, 7 January 2018