Question

Decomposition of odd-dimensional oriented vector bundles

score 104 · Answer 1 · 2026-04-03 06:12:56

104

Views

Decomposition of odd-dimensional oriented vector bundles

Published on 03 Apr 2026 - 6:12

score 399 · Answer 2 · 2026-04-11 23:42:25

399

Views

How does $\mathbb R^n\setminus \{0\}$ being simply connected follow as a corollary from $\mathbb S^{n-1}$ being a strong deformation retract?

Published on 11 Apr 2026 - 23:42

score 255 · Answer 3 · 2026-04-10 16:49:37

255

Views

one question about homotopy pushout

Published on 10 Apr 2026 - 16:49

score 90 · Answer 4 · 2026-03-25 14:36:40

90

Views

If $p: \widetilde{M} \to M$ is a covering map and $X$ a vector field on $M$, then exists a vector field satisfying $dp \widetilde{X} = X \circ h $

Published on 25 Mar 2026 - 14:36

score 258 · Answer 5 · 2026-04-10 23:34:42

258

Views

Motivation for local cohomology and local homotopy theories in Algebraic topology.

Published on 10 Apr 2026 - 23:34

score 189 · Answer 6 · 2026-04-12 02:52:49

189

Views

Invariant framing of $S^1$ and "the other one"

Published on 12 Apr 2026 - 2:52

score 161 · Answer 7 · 2026-04-10 15:11:32

161

Views

Homotopic sections in sphere bundles

Published on 10 Apr 2026 - 15:11

score 2k · Answer 8 · 2026-04-10 16:07:49

2k

Views

Why is it that homotopy is better described by weak equivalences than by homotopies?

Published on 10 Apr 2026 - 16:07

score 155 · Answer 9 · 2026-03-25 06:03:47

155

Views

$Mat_{ \infty,n }(\mathbb C)$ of max rank is contractible

Published on 25 Mar 2026 - 6:03

score 58 · Answer 10 · 2026-04-03 12:53:17

58

Views

What is a nice example for non-deformable sets in a topological space?

Published on 03 Apr 2026 - 12:53

score 278 · Answer 11 · 2026-03-25 18:50:11

278

Views

Is the map $\Lambda^n_n \sqcup_{\Delta^{\{n-1,n\}}} J \to \Delta^n \sqcup_{\Delta^{\{n-1,n\}}} J$ left anodyne?

Published on 25 Mar 2026 - 18:50

score 94 · Answer 12 · 2026-03-30 06:57:32

94

Views

Hom N-complexes

Published on 30 Mar 2026 - 6:57

score 350 · Answer 13 · 2026-03-29 01:35:49

350

Views

functors preserve homotopy pushouts and homotopy sums

Published on 29 Mar 2026 - 1:35

score 79 · Answer 14 · 2026-03-25 08:00:43

79

Views

$\pi_3(Sp(N))=\mathbb{Z}$, $\pi_4(Sp(N))=\mathbb{Z}_2$, $\pi_5(Sp(N))=\mathbb{Z}_2$?

Published on 25 Mar 2026 - 8:00

score 133 · Answer 15 · 2026-04-03 14:25:26

133

Views

Relationship between universal vector bundles and principal $O(n)$ bundles?

Published on 03 Apr 2026 - 14:25

List Question

Decomposition of odd-dimensional oriented vector bundles

How does $\mathbb R^n\setminus \{0\}$ being simply connected follow as a corollary from $\mathbb S^{n-1}$ being a strong deformation retract?

one question about homotopy pushout

If $p: \widetilde{M} \to M$ is a covering map and $X$ a vector field on $M$, then exists a vector field satisfying $dp \widetilde{X} = X \circ h $

Motivation for local cohomology and local homotopy theories in Algebraic topology.

Invariant framing of $S^1$ and "the other one"

Homotopic sections in sphere bundles

Why is it that homotopy is better described by weak equivalences than by homotopies?

$Mat_{ \infty,n }(\mathbb C)$ of max rank is contractible

What is a nice example for non-deformable sets in a topological space?

Is the map $\Lambda^n_n \sqcup_{\Delta^{\{n-1,n\}}} J \to \Delta^n \sqcup_{\Delta^{\{n-1,n\}}} J$ left anodyne?

Hom N-complexes

functors preserve homotopy pushouts and homotopy sums

$\pi_3(Sp(N))=\mathbb{Z}$, $\pi_4(Sp(N))=\mathbb{Z}_2$, $\pi_5(Sp(N))=\mathbb{Z}_2$?

Relationship between universal vector bundles and principal $O(n)$ bundles?

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