Question

For simplicial abelian group quotient map to the quotient chain complex is homotopy equivalence.

score 199 · Answer 1 · 2026-03-23 02:43:56

199

Views

For simplicial abelian group quotient map to the quotient chain complex is homotopy equivalence.

Published on 23 Mar 2026 - 2:43

score 586 · Answer 2 · 2026-03-20 10:21:59

586

Views

Pontryagin class of self-dual forms on a 4-manifold

Published on 20 Mar 2026 - 10:21

score 362 · Answer 3 · 2026-03-25 06:58:40

362

Views

Difference between pseudo-manifolds and quasi-manifolds

Published on 25 Mar 2026 - 6:58

score 966 · Answer 4 · 2026-03-25 08:07:51

966

Views

computing the fundamental group of a wedge sum

Published on 25 Mar 2026 - 8:07

score 110 · Answer 5 · 2018-02-24 20:27:28

110

Views

if all continuous map $f: s^1 \to X $ can be extended to $f: D^2 \to X$ then $f: s^1 \to X $ is nullhomotopic

Published on 24 Feb 2018 - 20:27

score 48 · Answer 6 · 2018-02-24 22:16:53

48

Views

Let $f,g:X\rightarrow S^n$ be maps satisfying $f(x) + g(x) \not= 0$ for all $x\in X$. Prove $f\simeq g$.

Published on 24 Feb 2018 - 22:16

score 695 · Answer 7 · 2018-02-25 03:34:58

695

Views

A space $X$ is contractible if and only if it is homotopically equivalent to the space with one point.

Published on 25 Feb 2018 - 3:34

score 385 · Answer 8 · 2026-03-22 23:33:05

385

Views

Universal covering space of $\mathbb{R^3}\setminus S^1$

Published on 22 Mar 2026 - 23:33

score 144 · Answer 9 · 2026-03-25 01:58:17

144

Views

Are all cell decompositions useful?

Published on 25 Mar 2026 - 1:58

score 80 · Answer 10 · 2026-03-22 16:22:15

80

Views

Give an example of an open cell in a cell complex for which the image of the characteristic map is not a closed cell.

Published on 22 Mar 2026 - 16:22

score 2k · Answer 11 · 2026-03-25 13:34:25

2k

Views

What is the topology on the Grassmannian $G_n(\mathbb{R}^{n+k})$?

Published on 25 Mar 2026 - 13:34

score 383 · Answer 12 · 2026-03-25 08:07:18

383

Views

Problem with path connectedness in intersection number $\operatorname {mod} 2$

Published on 25 Mar 2026 - 8:07

score 96 · Answer 13 · 2018-02-27 00:05:13

96

Views

Give an example of a connected space X with two points $x_0$ and $x_1$ such that $\pi_1(X,x_0)$ is not isomorphic to $\pi_1(X,x_1)$

Published on 27 Feb 2018 - 0:05

score 392 · Answer 14 · 2026-03-25 03:07:37

392

Views

Example of non-isomorphic sheaves, with isomorphic stalks at every point?

Published on 25 Mar 2026 - 3:07

score 102 · Answer 15 · 2026-03-25 06:12:52

102

Views

lift of a map $f:G \to G$

Published on 25 Mar 2026 - 6:12

List Question

For simplicial abelian group quotient map to the quotient chain complex is homotopy equivalence.

Pontryagin class of self-dual forms on a 4-manifold

Difference between pseudo-manifolds and quasi-manifolds

computing the fundamental group of a wedge sum

if all continuous map $f: s^1 \to X $ can be extended to $f: D^2 \to X$ then $f: s^1 \to X $ is nullhomotopic

Let $f,g:X\rightarrow S^n$ be maps satisfying $f(x) + g(x) \not= 0$ for all $x\in X$. Prove $f\simeq g$.

A space $X$ is contractible if and only if it is homotopically equivalent to the space with one point.

Universal covering space of $\mathbb{R^3}\setminus S^1$

Are all cell decompositions useful?

Give an example of an open cell in a cell complex for which the image of the characteristic map is not a closed cell.

What is the topology on the Grassmannian $G_n(\mathbb{R}^{n+k})$?

Problem with path connectedness in intersection number $\operatorname {mod} 2$

Give an example of a connected space X with two points $x_0$ and $x_1$ such that $\pi_1(X,x_0)$ is not isomorphic to $\pi_1(X,x_1)$

Example of non-isomorphic sheaves, with isomorphic stalks at every point?

lift of a map $f:G \to G$

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