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• Subspace topology
  ...|"the ''subspace topology''}} on {{M|S}}"{{rITTMJML}} ({{AKA}}: ''relative topology'' on {{M|S}}<ref name="ITTMJML"/>) and is defined as follows: ** '''Claim 1: ''' this is indeed a [[topology]]<ref name="ITTMJML"/>
  6 KB (1,146 words) - 23:04, 25 September 2016
• Topological retraction
  ...functions is a bijection then the initial map is injective and the latter map is surjective]] ...t{Id}_A}} where {{M|i_A}} denotes the [[inclusion map (topology)|inclusion map]], {{M|i_A:A\hookrightarrow X}} given by {{M|i_A:a\mapsto x}}
  2 KB (384 words) - 10:49, 14 December 2016
• Notes:Types of retractions
  ! Topology and Geometry | [[Subspace (topology)|Subspace]] {{M|A}} of {{Top.|X|J}} and a [[continuous map]], {{M|f:X\rightarrow A}} such that {{M|1=f(a)=a}} for all {{M|a\in A}} is
  6 KB (1,008 words) - 11:56, 2 June 2016
• Deformation retraction/Definition
  A [[subspace (topology)|subspace]], {{M|A}}, of a [[topological space]] {{Top.|X|J}} is called a ' ...ghtarrow X}} is the [[inclusion map]] and {{M|\text{Id}_X}} the [[identity map]] of {{M|X}}.
  1 KB (222 words) - 08:19, 13 December 2016
• Canonical injection of the subspace topology
  ...irectly, one as a corollary to the characteristic property of the subspace topology}} * See [[Subspace topology#Definition|the definition part of the subspace topology page]] - bottom 2 paragraphs cover it
  1 KB (195 words) - 23:22, 25 September 2016
• Notes:CW-Complex
  ==Munkres: Elements of Algebraic Topology== # For each {{open n-cell|m}}, {{M|e_\alpha}}, there exists a [[continuous map]], {{M|f_\alpha:\overline{\mathbb{B}^m}\rightarrow X}} such that:
  10 KB (1,736 words) - 01:00, 23 January 2017
• Exercises:Saul - Algebraic Topology - 5/Exercise 5.6
  ...ightarrow A}}). Lastly take i {{M|i:A\rightarrow X}} to be the [[inclusion map]], {{M|i:a\mapsto a}}. ...ract|topology}} of {{M|X}} (and {{M|r:X\rightarrow A}} is the [[continuous map]] of the retraction) then {{M|i_*:H_*(A)\rightarrow H_*(X)}} is a [[monomor
  1 KB (269 words) - 20:13, 14 February 2017