List questions from cw-complexes

Published on 09 Apr 2026 - 12:01

238

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Prove that, $T/S^1_a\simeq S^2\vee S^1$ where $T$ be the torus which is a CW complex with $1$-skeleton $S^1\vee S^1$ (denoted by $a,b$ respectively)

Published on 16 Apr 2026 - 8:42

358

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Simply connected CW complex homotopic to one with trivial 1-skeleton

Published on 12 Apr 2026 - 12:57

133

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CW structure from map homotopic to the identity?

Published on 13 Apr 2026 - 11:16

191

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For a given group $G$ there always exists a CW complex $X$ such that $\pi_1(X) \cong G.$

Published on 19 Apr 2026 - 4:18

456

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Reduced and unreduced suspension are homotopically equivalent

Published on 09 Apr 2026 - 15:25

176

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Local systems are the same as modules over chains of based loop space?

Published on 16 Apr 2026 - 6:36

568

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Computing homology of smash product of two finite CW complexes .

Published on 14 Apr 2026 - 8:13

98

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Find the homology of $\mathbb C P^n \times \mathbb C P^m.$

Published on 14 Apr 2026 - 0:30

145

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CW approximation is unique - question about proof

Published on 14 Apr 2026 - 8:23

114

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Relation between 1- and 2-dimensional cells in a CW complex.

Published on 13 Apr 2026 - 0:46

285

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CW subcomplex is complex with inherited structure

Published on 10 Apr 2026 - 13:52

237

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Retraction of $(n+1)$-skeleton minus the center of $n+1$-cells on $n-$skeleton

Published on 14 Apr 2026 - 20:02

464

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Proof of cellular approximation theorem

Published on 10 Apr 2026 - 3:38

189

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$CW$ topology on $X \times Y$ coincides with the product topology

Published on 16 Apr 2026 - 15:22

List Question

Does the pair $(S^n, \{p_1,p_2, \cdots, p_k\})$ have HEP?

Prove that, $T/S^1_a\simeq S^2\vee S^1$ where $T$ be the torus which is a CW complex with $1$-skeleton $S^1\vee S^1$ (denoted by $a,b$ respectively)

Simply connected CW complex homotopic to one with trivial 1-skeleton

CW structure from map homotopic to the identity?

For a given group $G$ there always exists a CW complex $X$ such that $\pi_1(X) \cong G.$

Reduced and unreduced suspension are homotopically equivalent

Local systems are the same as modules over chains of based loop space?

Computing homology of smash product of two finite CW complexes .

Find the homology of $\mathbb C P^n \times \mathbb C P^m.$

CW approximation is unique - question about proof

Relation between 1- and 2-dimensional cells in a CW complex.

CW subcomplex is complex with inherited structure

Retraction of $(n+1)$-skeleton minus the center of $n+1$-cells on $n-$skeleton

Proof of cellular approximation theorem

$CW$ topology on $X \times Y$ coincides with the product topology

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