List questions from homotopy-theory

Published on 31 Mar 2026 - 5:36

267

Views

Why is the fibration $BSO(n-1) \to BSO(n)$, $n-1$ connected?

Published on 11 May 2026 - 0:54

45

Views

Path homotopy between $\alpha(t) = t-t^2$ and $\beta(t) = t^2-t$

Published on 03 Apr 2026 - 8:14

230

Views

Why is $BSO(n-1)$ the sphere bundle of the tautolocigal bundle on $BSO(n)$?

Published on 25 Mar 2026 - 22:04

39

Views

IF $S$ is a torus and $p,q$ are two different points of $S$, how can I calculate $\pi (S \setminus\{p\})?$ and $\pi (S \setminus \{p,q\})$?

Published on 31 Mar 2026 - 5:33

99

Views

What is the map from $H_j( \Sigma MSO(k)) \to H_{j-k}(BSO(k))$ on Tom Dieck page 537

Published on 12 May 2026 - 3:57

856

Views

Annulus Homotopic to punctured plane

Published on 13 Apr 2026 - 2:01

66

Views

Characteristic function is an identification function

Published on 10 Apr 2026 - 9:46

179

Views

Homotopy classes of manifolds of dimension $2n$ which are $(n-1)$ connected

Published on 28 Apr 2026 - 14:22

2.9k

Views

Covering spaces of wedge sum of circles

Published on 30 Mar 2026 - 8:24

45

Views

The dimension of $H_i(X_n, \mathbb{Q})$ is linear in $n$ with a bounded nonnegative error, where the error is periodic?

Published on 28 Mar 2026 - 17:41

400

Views

Why are bordism groups of a point nontrivial

Published on 10 May 2026 - 21:58

73

Views

stable homotopy groups of the projective plane

Published on 03 Apr 2026 - 12:54

1.5k

Views

Infinite wedge sum of circles and a space homotopy equivalent

Published on 31 Mar 2026 - 5:34

155

Views

Badly explained solution

Published on 08 Apr 2026 - 18:42

List Question

group actions of fundamental groups on homotopy groups

Why is the fibration $BSO(n-1) \to BSO(n)$, $n-1$ connected?

Path homotopy between $\alpha(t) = t-t^2$ and $\beta(t) = t^2-t$

Why is $BSO(n-1)$ the sphere bundle of the tautolocigal bundle on $BSO(n)$?

IF $S$ is a torus and $p,q$ are two different points of $S$, how can I calculate $\pi (S \setminus\{p\})?$ and $\pi (S \setminus \{p,q\})$?

What is the map from $H_j( \Sigma MSO(k)) \to H_{j-k}(BSO(k))$ on Tom Dieck page 537

Annulus Homotopic to punctured plane

Characteristic function is an identification function

Homotopy classes of manifolds of dimension $2n$ which are $(n-1)$ connected

Covering spaces of wedge sum of circles

The dimension of $H_i(X_n, \mathbb{Q})$ is linear in $n$ with a bounded nonnegative error, where the error is periodic?

Why are bordism groups of a point nontrivial

stable homotopy groups of the projective plane

Infinite wedge sum of circles and a space homotopy equivalent

Badly explained solution

Trending Questions

Popular # Hahtags

Popular Questions