Question

Nullhomotopicity of $\mathbb{S}/p \to^p \mathbb{S}/p$ for $p=2$ and $p \neq 2$?

score 72 · Answer 1 · 2026-05-10 17:17:52

72

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Nullhomotopicity of $\mathbb{S}/p \to^p \mathbb{S}/p$ for $p=2$ and $p \neq 2$?

Published on 10 May 2026 - 17:17

score 66 · Answer 2 · 2026-03-25 06:08:18

66

Views

Computing homotopy classes of maps between small finite CW complexes

Published on 25 Mar 2026 - 6:08

score 80 · Answer 3 · 2026-03-25 09:24:51

80

Views

Question about relative homotopy Groups

Published on 25 Mar 2026 - 9:24

score 433 · Answer 4 · 2026-03-25 06:05:47

433

Views

Can a simply connected manifold satisfy $M\simeq M\times M?$

Published on 25 Mar 2026 - 6:05

score 142 · Answer 5 · 2026-03-25 06:07:08

142

Views

Inverse of a homotopy class in the $n$-th homotopy group

Published on 25 Mar 2026 - 6:07

score 62 · Answer 6 · 2026-05-10 17:39:20

62

Views

The fundamental group of the loop space of $(X,x_0)$ with the base point chosen not to be the constant loop in $x_0$

Published on 10 May 2026 - 17:39

score 23 · Answer 7 · 2026-03-25 07:43:26

23

Views

Showing that inducded maps to relative homotopy groups is 0

Published on 25 Mar 2026 - 7:43

score 81 · Answer 8 · 2026-04-11 15:00:57

81

Views

Computation of the LES of homotopy groups associated with compact symmetric spaces

Published on 11 Apr 2026 - 15:00

score 59 · Answer 9 · 2026-03-25 06:07:05

59

Views

Geometric characteristics or combinatorics analog for homotopy groups of spheres other than $\pi_n(S^n)$

Published on 25 Mar 2026 - 6:07

score 48 · Answer 10 · 2026-03-25 05:59:41

48

Views

Bilinear pairing on homotopy groups

Published on 25 Mar 2026 - 5:59

score 211 · Answer 11 · 2026-03-25 06:04:31

211

Views

Uniqueness of comultiplication for sufficiently connected spaces of restricted dimensions

Published on 25 Mar 2026 - 6:04

score 111 · Answer 12 · 2026-03-25 06:05:21

111

Views

Map induced by inverse on homotopy groups of SO(n)

Published on 25 Mar 2026 - 6:05

score 155 · Answer 13 · 2026-03-25 07:42:58

155

Views

A certain map involving Eilenberg-MacLane spaces is a well-defined homomorphism (towards a universal coefficient theorem)

Published on 25 Mar 2026 - 7:42

score 73 · Answer 14 · 2026-03-25 06:00:25

73

Views

Homotopic maps induce the same maps on homotopy groups given path connected spaces

Published on 25 Mar 2026 - 6:00

score 185 · Answer 15 · 2026-03-25 06:03:56

185

Views

No $p$-torsion in $\pi_{2p+1}(S^3)$?

Published on 25 Mar 2026 - 6:03

List Question

Nullhomotopicity of $\mathbb{S}/p \to^p \mathbb{S}/p$ for $p=2$ and $p \neq 2$?

Computing homotopy classes of maps between small finite CW complexes

Question about relative homotopy Groups

Can a simply connected manifold satisfy $M\simeq M\times M?$

Inverse of a homotopy class in the $n$-th homotopy group

The fundamental group of the loop space of $(X,x_0)$ with the base point chosen not to be the constant loop in $x_0$

Showing that inducded maps to relative homotopy groups is 0

Computation of the LES of homotopy groups associated with compact symmetric spaces

Geometric characteristics or combinatorics analog for homotopy groups of spheres other than $\pi_n(S^n)$

Bilinear pairing on homotopy groups

Uniqueness of comultiplication for sufficiently connected spaces of restricted dimensions

Map induced by inverse on homotopy groups of SO(n)

A certain map involving Eilenberg-MacLane spaces is a well-defined homomorphism (towards a universal coefficient theorem)

Homotopic maps induce the same maps on homotopy groups given path connected spaces

No $p$-torsion in $\pi_{2p+1}(S^3)$?

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