List questions from homotopy-theory

Published on 11 Apr 2026 - 2:42

56

Views

Can the homotopy type change at the limit?

Published on 29 Apr 2026 - 7:37

362

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What is a mapping cocone for a map of cochain complexes $f: A \to B$?

Published on 11 Apr 2026 - 13:59

293

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On the homology of $K(G,n)$

Published on 10 May 2026 - 23:27

152

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Homotopy type of a sphere

Published on 16 Apr 2026 - 16:41

114

Views

Prove that there is some $p\in S^1$ for which the angle between $p$ and $h(p)\in S^1$ is $90^{\circ}$.

Published on 14 Apr 2026 - 19:45

140

Views

Intuition on homotopy equivalence of comparison theorem of two complexes

Published on 08 Apr 2026 - 21:45

273

Views

Evaluating couple PDE with Homotopy Analysis Method

Published on 29 Mar 2026 - 4:49

2.3k

Views

Simply connected 3-manifolds are homotopy equivalent to 3-spheres

Published on 13 Apr 2026 - 13:53

108

Views

Does uniqueness of a solution to a perturbation approximation imply local uniqueness to the original equation?

Published on 15 Apr 2026 - 22:06

346

Views

A well defined weak equivalence between fibres of a Serre fibration.

Published on 17 Apr 2026 - 5:09

112

Views

An orientable 4-manifold with completely nontrivial 2-type

Published on 10 May 2026 - 20:36

66

Views

$\pi_{n}(X_{G})$ when $G$ is finite and acts freely on $X$

Published on 10 May 2026 - 20:41

274

Views

In what sense are trivalent graphs "generic" 1-dimensional CW-complexes?

Published on 15 May 2026 - 17:05

55

Views

Is $S^n\langle n\rangle$ a suspension?

Published on 12 Apr 2026 - 9:07

List Question

Intuition behind "classical" results of topology

Can the homotopy type change at the limit?

What is a mapping cocone for a map of cochain complexes $f: A \to B$?

On the homology of $K(G,n)$

Homotopy type of a sphere

Prove that there is some $p\in S^1$ for which the angle between $p$ and $h(p)\in S^1$ is $90^{\circ}$.

Intuition on homotopy equivalence of comparison theorem of two complexes

Evaluating couple PDE with Homotopy Analysis Method

Simply connected 3-manifolds are homotopy equivalent to 3-spheres

Does uniqueness of a solution to a perturbation approximation imply local uniqueness to the original equation?

A well defined weak equivalence between fibres of a Serre fibration.

An orientable 4-manifold with completely nontrivial 2-type

$\pi_{n}(X_{G})$ when $G$ is finite and acts freely on $X$

In what sense are trivalent graphs "generic" 1-dimensional CW-complexes?

Is $S^n\langle n\rangle$ a suspension?

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