Question

Does the inclusion of $n$-connected $\infty$-groupoids into $(n-1)$-connected $\infty$-groupoids admit adjoints?

score 46 · Answer 1 · 2026-04-12 11:38:14

46

Views

Does the inclusion of $n$-connected $\infty$-groupoids into $(n-1)$-connected $\infty$-groupoids admit adjoints?

Published on 12 Apr 2026 - 11:38

score 3.2k · Answer 2 · 2026-04-11 23:43:17

3.2k

Views

The circle is not contractible

Published on 11 Apr 2026 - 23:43

score 197 · Answer 3 · 2026-04-12 08:45:10

197

Views

Extension problem for serre spectral sequence of trivial fibration

Published on 12 Apr 2026 - 8:45

score 46 · Answer 4 · 2026-04-13 21:54:28

46

Views

Looking for a Homotopy of Paths.

Published on 13 Apr 2026 - 21:54

score 52 · Answer 5 · 2026-04-13 11:13:04

52

Views

Homotopy equivalence between $S^n/S^k$ and $S^n\vee S^{k+1}$

Published on 13 Apr 2026 - 11:13

score 106 · Answer 6 · 2026-04-10 04:57:55

106

Views

Another definition of local coefficients

Published on 10 Apr 2026 - 4:57

score 85 · Answer 7 · 2026-04-10 16:31:36

85

Views

flaw in finding next map in cofiber sequence

Published on 10 Apr 2026 - 16:31

score 1k · Answer 8 · 2026-04-11 04:09:43

1k

Views

Direct limit of fundamental homotopy groups of an increasing sequence of topological spaces

Published on 11 Apr 2026 - 4:09

score 283 · Answer 9 · 2026-04-12 01:01:56

283

Views

Shouldn't there be no tearing and gluing in deformation in topology?

Published on 12 Apr 2026 - 1:01

score 165 · Answer 10 · 2026-04-15 18:45:42

165

Views

$\pi_i(E,F)\to \pi_{i-1}(F)$ injective if $F\hookrightarrow E$ is nullhomotpic

Published on 15 Apr 2026 - 18:45

score 211 · Answer 11 · 2026-04-11 00:20:27

211

Views

Recover a space from its fundamental group? isomorphic fundamental groups

Published on 11 Apr 2026 - 0:20

score 2.4k · Answer 12 · 2026-04-17 03:07:52

2.4k

Views

Type vs. HoTT vs. Category vs. Topos

Published on 17 Apr 2026 - 3:07

score 79 · Answer 13 · 2026-04-11 15:32:00

79

Views

Explicit description of $X \to K(\pi_1(X),1)$

Published on 11 Apr 2026 - 15:32

score 108 · Answer 14 · 2026-04-15 20:43:35

108

Views

Why is $S^\infty \times_{\mathbb{Z}/2} S^2 \sim RP^2$?

Published on 15 Apr 2026 - 20:43

score 586 · Answer 15 · 2026-04-13 08:51:49

586

Views

How to prove that the twist map is not homotopic to the identity map?

Published on 13 Apr 2026 - 8:51

List Question

Does the inclusion of $n$-connected $\infty$-groupoids into $(n-1)$-connected $\infty$-groupoids admit adjoints?

The circle is not contractible

Extension problem for serre spectral sequence of trivial fibration

Looking for a Homotopy of Paths.

Homotopy equivalence between $S^n/S^k$ and $S^n\vee S^{k+1}$

Another definition of local coefficients

flaw in finding next map in cofiber sequence

Direct limit of fundamental homotopy groups of an increasing sequence of topological spaces

Shouldn't there be no tearing and gluing in deformation in topology?

$\pi_i(E,F)\to \pi_{i-1}(F)$ injective if $F\hookrightarrow E$ is nullhomotpic

Recover a space from its fundamental group? isomorphic fundamental groups

Type vs. HoTT vs. Category vs. Topos

Explicit description of $X \to K(\pi_1(X),1)$

Why is $S^\infty \times_{\mathbb{Z}/2} S^2 \sim RP^2$?

How to prove that the twist map is not homotopic to the identity map?

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