Question

Suppose $X$ is a space and $\pi_1(X, x)=\{e\}$, the trivial group. Show that there is a homotopy

score 97 · Answer 1 · 2015-11-03 03:10:53

97

Views

Suppose $X$ is a space and $\pi_1(X, x)=\{e\}$, the trivial group. Show that there is a homotopy

Published on 03 Nov 2015 - 3:10

score 48 · Answer 2 · 2015-11-03 20:07:35

48

Views

Are there any resolutions for $\mathbb{Z}$ over group algebra without topological <<model>>?

Published on 03 Nov 2015 - 20:07

score 260 · Answer 3 · 2026-04-20 16:19:11

260

Views

Homotopy between cellular maps: an additional property

Published on 20 Apr 2026 - 16:19

score 597 · Answer 4 · 2026-05-11 09:48:01

597

Views

The ring of stable homotopy groups of spheres is not noetherian

Published on 11 May 2026 - 9:48

score 97 · Answer 5 · 2015-11-05 18:07:44

97

Views

Picard group and $\mathbb{A}^1$ homotopy

Published on 05 Nov 2015 - 18:07

score 702 · Answer 6 · 2015-11-06 12:46:41

702

Views

Is there a long exact cofiber sequence for a homotopy pushout?

Published on 06 Nov 2015 - 12:46

score 101 · Answer 7 · 2015-11-08 10:00:32

101

Views

Do 2 homotopic paths always have the same lenght?

Published on 08 Nov 2015 - 10:00

score 2k · Answer 8 · 2015-11-08 14:40:49

2k

Views

Torus cannot be embedded in $\mathbb R^2$

Published on 08 Nov 2015 - 14:40

score 1.3k · Answer 9 · 2015-11-10 11:00:45

1.3k

Views

Not every path connected space is contractible.

Published on 10 Nov 2015 - 11:00

score 259 · Answer 10 · 2015-11-10 17:26:31

259

Views

Equivalent statements to simply connectedness

Published on 10 Nov 2015 - 17:26

score 2.3k · Answer 11 · 2026-03-30 14:23:11

2.3k

Views

Does having the same fundamental group imply that two spaces have the same homotopy type?

Published on 30 Mar 2026 - 14:23

score 159 · Answer 12 · 2015-11-11 07:38:29

159

Views

Is $\gamma$ homotopic to $g\circ\gamma$?

Published on 11 Nov 2015 - 7:38

score 307 · Answer 13 · 2015-11-11 10:19:44

307

Views

Is the projection of two homotopic maps path homotopic?

Published on 11 Nov 2015 - 10:19

score 618 · Answer 14 · 2015-11-11 18:13:28

618

Views

How can I prove that the horn torus and $\mathbb{T} \cup D_1$ have the same homotopy type?

Published on 11 Nov 2015 - 18:13

score 508 · Answer 15 · 2015-11-11 22:34:59

508

Views

Example of a cogroup in $\mathsf{hTop}_{\bullet}$ which is not a suspension

Published on 11 Nov 2015 - 22:34

List Question

Suppose $X$ is a space and $\pi_1(X, x)=\{e\}$, the trivial group. Show that there is a homotopy

Are there any resolutions for $\mathbb{Z}$ over group algebra without topological <<model>>?

Homotopy between cellular maps: an additional property

The ring of stable homotopy groups of spheres is not noetherian

Picard group and $\mathbb{A}^1$ homotopy

Is there a long exact cofiber sequence for a homotopy pushout?

Do 2 homotopic paths always have the same lenght?

Torus cannot be embedded in $\mathbb R^2$

Not every path connected space is contractible.

Equivalent statements to simply connectedness

Does having the same fundamental group imply that two spaces have the same homotopy type?

Is $\gamma$ homotopic to $g\circ\gamma$?

Is the projection of two homotopic maps path homotopic?

How can I prove that the horn torus and $\mathbb{T} \cup D_1$ have the same homotopy type?

Example of a cogroup in $\mathsf{hTop}_{\bullet}$ which is not a suspension

Trending Questions

Popular # Hahtags

Popular Questions