List questions from homotopy-theory

Published on 11 Apr 2026 - 19:45

178

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Which spaces are homotopy equivalent in an h-cobordism?

Published on 25 Mar 2026 - 14:33

45

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Determine the set of all the isomorphism classes of differentiable $M$-bundles over $X$

Published on 14 Apr 2026 - 11:34

103

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Proof review of a theorem

Published on 09 Apr 2026 - 19:29

43

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$h_:S_(X\times Y)\to S_(X\times Y)$ a homomorphism of natural chain complexes. If $h_0=Id$, show that $h_$ is homotopic to $Id$

Published on 01 Apr 2026 - 22:39

148

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Isomorphism that is not a bijection in underlying sets?

Published on 14 Apr 2026 - 12:22

724

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Homotopy equivalence of fibres of a Hurewicz fibration

Published on 12 Apr 2026 - 13:47

356

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The p point such that map from $S^{1}$ to $S^{1}$ satisfies $f(p) = f(-p)$

Published on 24 Aug 2019 - 18:37

318

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Homotopy coherence

Published on 11 Apr 2026 - 22:00

121

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HTT, 2.1.1.3, Lurie

Published on 31 Mar 2026 - 21:54

267

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Fake proof: Degree of nth power map on unit circle

Published on 11 Apr 2026 - 22:33

78

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Proof that higher homotopy groups of kan complexes are abelian using Eckmann-Hilton

Published on 09 Apr 2026 - 13:44

176

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Homotopy of integral curves of a gradient field preserves levelsets (?)

Published on 25 Mar 2026 - 22:06

82

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Find a fundamental group of $X=\{z\in \mathbb{C} : 1 \leqslant |z| \leqslant 2\} / _{\sim} $

Published on 14 Apr 2026 - 4:36

487

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Examples of topological spaces which are not well-pointed

Published on 12 Apr 2026 - 16:01

List Question

Homotopy theory based on an other space than the circle

Which spaces are homotopy equivalent in an h-cobordism?

Determine the set of all the isomorphism classes of differentiable $M$-bundles over $X$

Proof review of a theorem

$h_:S_(X\times Y)\to S_(X\times Y)$ a homomorphism of natural chain complexes. If $h_0=Id$, show that $h_$ is homotopic to $Id$

Isomorphism that is not a bijection in underlying sets?

Homotopy equivalence of fibres of a Hurewicz fibration

The p point such that map from $S^{1}$ to $S^{1}$ satisfies $f(p) = f(-p)$

Homotopy coherence

HTT, 2.1.1.3, Lurie

Fake proof: Degree of nth power map on unit circle

Proof that higher homotopy groups of kan complexes are abelian using Eckmann-Hilton

Homotopy of integral curves of a gradient field preserves levelsets (?)

Find a fundamental group of $X=\{z\in \mathbb{C} : 1 \leqslant |z| \leqslant 2\} / _{\sim} $

Examples of topological spaces which are not well-pointed

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