Question

Attaching a copy of $S^1$ at each point of $[0, 1]$ and $S^1$ and the fundamental groups of the resulting spaces

score 77 · Answer 1 · 2026-04-15 19:54:42

77

Views

Attaching a copy of $S^1$ at each point of $[0, 1]$ and $S^1$ and the fundamental groups of the resulting spaces

Published on 15 Apr 2026 - 19:54

score 1.1k · Answer 2 · 2026-04-13 20:35:19

1.1k

Views

Show that $\mathbb{R} P^3$ is not homotopy equivalent to $\mathbb{R} P^2 \vee S^3$.

Published on 13 Apr 2026 - 20:35

score 61 · Answer 3 · 2026-04-13 17:42:57

61

Views

Why a convergent succesion does not have the same homotopy type of a CW-Complex?

Published on 13 Apr 2026 - 17:42

score 90 · Answer 4 · 2026-04-13 04:21:53

90

Views

What is meant by saying that two paths in $X$ from $x_0$ to $x_1$ are equivalent?

Published on 13 Apr 2026 - 4:21

score 1.8k · Answer 5 · 2026-04-11 21:57:25

1.8k

Views

mapping cone and cylinder

Published on 11 Apr 2026 - 21:57

score 278 · Answer 6 · 2026-04-12 02:25:34

278

Views

null homotopy of 1-skeleton of simply connected simplicial complex induced by homotopy identity

Published on 12 Apr 2026 - 2:25

score 311 · Answer 7 · 2026-04-17 08:46:34

311

Views

Is this morphism of spectra zero in the stable homotopy category?

Published on 17 Apr 2026 - 8:46

score 706 · Answer 8 · 2026-05-03 13:18:50

706

Views

Reference for secondary cohomology operations

Published on 03 May 2026 - 13:18

score 385 · Answer 9 · 2026-04-11 12:50:00

385

Views

An example of why this homomorphism of homotopy groups is not injective.

Published on 11 Apr 2026 - 12:50

score 482 · Answer 10 · 2026-04-15 18:23:44

482

Views

Relative $CW$-complexes and Serre fibrations

Published on 15 Apr 2026 - 18:23

score 654 · Answer 11 · 2026-04-16 21:30:05

654

Views

Homotopy Type of Surface of Genus g

Published on 16 Apr 2026 - 21:30

score 1k · Answer 12 · 2026-04-16 20:41:08

1k

Views

Null-homotopic maps

Published on 16 Apr 2026 - 20:41

score 64 · Answer 13 · 2026-04-14 15:00:09

64

Views

Sequence of cofibrations gives strict commutativity of given triangle

Published on 14 Apr 2026 - 15:00

score 260 · Answer 14 · 2026-04-10 17:14:05

260

Views

Hopf invariant and homotopy groups of spheres

Published on 10 Apr 2026 - 17:14

score 62 · Answer 15 · 2026-04-12 02:40:26

62

Views

Does the 2-functor $PsAlg\to \mathfrak{X} $ reflect equivalences?

Published on 12 Apr 2026 - 2:40

List Question

Attaching a copy of $S^1$ at each point of $[0, 1]$ and $S^1$ and the fundamental groups of the resulting spaces

Show that $\mathbb{R} P^3$ is not homotopy equivalent to $\mathbb{R} P^2 \vee S^3$.

Why a convergent succesion does not have the same homotopy type of a CW-Complex?

What is meant by saying that two paths in $X$ from $x_0$ to $x_1$ are equivalent?

mapping cone and cylinder

null homotopy of 1-skeleton of simply connected simplicial complex induced by homotopy identity

Is this morphism of spectra zero in the stable homotopy category?

Reference for secondary cohomology operations

An example of why this homomorphism of homotopy groups is not injective.

Relative $CW$-complexes and Serre fibrations

Homotopy Type of Surface of Genus g

Null-homotopic maps

Sequence of cofibrations gives strict commutativity of given triangle

Hopf invariant and homotopy groups of spheres

Does the 2-functor $PsAlg\to \mathfrak{X} $ reflect equivalences?

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