List questions from cw-complexes

Published on 12 Apr 2026 - 16:34

82

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Handle body $H_g$ of genus $g$ as a CW complex

Published on 16 Apr 2026 - 3:00

116

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Can $S^1$ act freely on $\mathbb{C}P^2$?

Published on 12 Apr 2026 - 3:30

87

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CW complex as a disjoint union of cells - is the union really disjoint though?

Published on 14 Apr 2026 - 2:53

196

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How to prove that $\mathbb {CP}^\infty$ represents $H^2(-; \mathbb Z)$ without using a cell decomposition?

Published on 10 May 2026 - 16:00

62

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What does $\cup _f$ mean?

Published on 11 Apr 2026 - 17:03

118

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Intuition - attaching an $n$-cell to $X$ in algebraic topology

Published on 13 Apr 2026 - 16:55

125

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Confusion about orientations in cellular boundary formula

Published on 09 Apr 2026 - 1:59

67

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Computing homotopy classes of maps between small finite CW complexes

Published on 11 May 2026 - 2:42

85

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Constructing $X$ with $π_1(X) ≅ ℝ$

Published on 15 Apr 2026 - 12:28

51

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Question about CW complex

Published on 10 Apr 2026 - 4:59

89

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A (short) proof for the paracompactness of CW complexes

Published on 15 Apr 2026 - 11:05

244

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Fundamental group of CW complexes

Published on 11 Apr 2026 - 3:00

107

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Understanding the CW decomposition of the real projective $n$-space

Published on 11 Apr 2026 - 16:54

126

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CW structure of $S^2$ with two poles identified

Published on 14 Apr 2026 - 3:20

List Question

A CW-complex is compact if and only if it is finite

Handle body $H_g$ of genus $g$ as a CW complex

Can $S^1$ act freely on $\mathbb{C}P^2$?

CW complex as a disjoint union of cells - is the union really disjoint though?

How to prove that $\mathbb {CP}^\infty$ represents $H^2(-; \mathbb Z)$ without using a cell decomposition?

What does $\cup _f$ mean?

Intuition - attaching an $n$-cell to $X$ in algebraic topology

Confusion about orientations in cellular boundary formula

Computing homotopy classes of maps between small finite CW complexes

Constructing $X$ with $π_1(X) ≅ ℝ$

Question about CW complex

A (short) proof for the paracompactness of CW complexes

Fundamental group of CW complexes

Understanding the CW decomposition of the real projective $n$-space

CW structure of $S^2$ with two poles identified

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