Question

Homotopy equivalence of Eilenberg-MacLane spaces

score 210 · Answer 1 · 2026-04-10 14:35:02

210

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Homotopy equivalence of Eilenberg-MacLane spaces

Published on 10 Apr 2026 - 14:35

score 55 · Answer 2 · 2026-04-16 05:01:12

55

Views

Why, in this case, if G Hausdorff then G is discrete?

Published on 16 Apr 2026 - 5:01

score 165 · Answer 3 · 2026-04-10 03:14:18

165

Views

Does $X$ being path-connected and contractible mean the fundamental group of $X$ is trivial?

Published on 10 Apr 2026 - 3:14

score 216 · Answer 4 · 2026-04-15 20:04:17

216

Views

Van Kampen when the there is a cover by finitely many closed sets

Published on 15 Apr 2026 - 20:04

score 195 · Answer 5 · 2026-04-17 01:08:46

195

Views

Map extension of $f$ to $F$

Published on 17 Apr 2026 - 1:08

score 591 · Answer 6 · 2026-04-15 03:05:42

591

Views

If $X\approx Y$ and $X$ is contractible then $Y$ is contractible

Published on 15 Apr 2026 - 3:05

score 55 · Answer 7 · 2026-04-14 02:28:05

55

Views

Understanding the multiplication in celluar chain complex of $\mathbb{R}P^n$

Published on 14 Apr 2026 - 2:28

score 101 · Answer 8 · 2026-04-11 12:54:48

101

Views

Show a free abelian group with one generator

Published on 11 Apr 2026 - 12:54

score 233 · Answer 9 · 2026-04-11 23:48:49

233

Views

Degree of deck transformations $S^n \rightarrow S^n$

Published on 11 Apr 2026 - 23:48

score 146 · Answer 10 · 2026-04-14 14:22:58

146

Views

Equivalence classes and orientation

Published on 14 Apr 2026 - 14:22

score 200 · Answer 11 · 2026-04-17 03:49:36

200

Views

[Example 3.11, Hatcher]Cellular coboundary maps with $\mathbb{Z}$ coefficients are zero then so are those with arbitrary coefficients.

Published on 17 Apr 2026 - 3:49

score 98 · Answer 12 · 2026-04-17 01:54:19

98

Views

If $f$ and $g$ are paths with $g$ constant, then $f'\simeq g'$ rel$\{1\}$ if an only if there exist a free homotopy $f'\simeq g'.$

Published on 17 Apr 2026 - 1:54

score 116 · Answer 13 · 2026-04-12 05:40:25

116

Views

Is this simplicial complex homeomorphic to a disk?

Published on 12 Apr 2026 - 5:40

score 362 · Answer 14 · 2026-04-11 21:56:01

362

Views

Comparison between Van Kampen theorem from Allen Hatcher and "Introduction to knot theory".

Published on 11 Apr 2026 - 21:56

score 164 · Answer 15 · 2026-04-13 01:37:35

164

Views

Covering of a space given by epimorphisms from the fundamental group.

Published on 13 Apr 2026 - 1:37

List Question

Homotopy equivalence of Eilenberg-MacLane spaces

Why, in this case, if G Hausdorff then G is discrete?

Does $X$ being path-connected and contractible mean the fundamental group of $X$ is trivial?

Van Kampen when the there is a cover by finitely many closed sets

Map extension of $f$ to $F$

If $X\approx Y$ and $X$ is contractible then $Y$ is contractible

Understanding the multiplication in celluar chain complex of $\mathbb{R}P^n$

Show a free abelian group with one generator

Degree of deck transformations $S^n \rightarrow S^n$

Equivalence classes and orientation

[Example 3.11, Hatcher]Cellular coboundary maps with $\mathbb{Z}$ coefficients are zero then so are those with arbitrary coefficients.

If $f$ and $g$ are paths with $g$ constant, then $f'\simeq g'$ rel$\{1\}$ if an only if there exist a free homotopy $f'\simeq g'.$

Is this simplicial complex homeomorphic to a disk?

Comparison between Van Kampen theorem from Allen Hatcher and "Introduction to knot theory".

Covering of a space given by epimorphisms from the fundamental group.

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