List questions from homotopy-theory

Published on 11 May 2026 - 1:01

1.1k

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multiplication in H-space and loopspace of the H-space

Published on 22 Apr 2026 - 16:01

940

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Is torus w. disc removed homotopic to Klein bottle w. disc removed?

Published on 11 May 2026 - 5:43

2.5k

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Spaces homotopy equivalent to finite CW complexes

Published on 27 Mar 2026 - 14:55

56

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Homotopy $I^2 \rightarrow S^1$ lifting lemma proof

Published on 09 Feb 2016 - 22:57

160

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$(0,1) \simeq [0,1] $ but not homeomorphic

Published on 10 Feb 2016 - 21:26

68

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How does one compute the Hurewicz homomorphism for a (symplectic) nilmanifold?

Published on 11 May 2026 - 5:30

404

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Do path homotopy classes of concatenated paths have a middle fixed point?

Published on 11 Feb 2016 - 6:23

150

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Converse of realisation lemma for bisimplicial sets

Published on 28 Mar 2026 - 17:42

63

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Are there any nontrivial second Hurewicz homomorphisms for familiar compact 6-dimensional manifolds?

Published on 11 May 2026 - 5:44

751

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CW complex structure for $\mathbb{R}P^n$ or a space homotopy equivalent

Published on 27 Mar 2026 - 14:50

328

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Removing cells from CW complex and without changing the homotopy type

Published on 27 Mar 2026 - 14:50

412

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Homotopy category of a simplicial category

Published on 26 Apr 2026 - 4:45

286

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Fibration: if map $i^: H^(X, G) \to H^(F, G)$ is surjective, then action of $\pi_1(B)$ on $H^(F, G)$ trivial?

Published on 10 May 2026 - 9:15

247

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Show that $f$ is homotopic to $g$.

Published on 17 Feb 2016 - 14:09

List Question

Using transfinite induction to compute fundamental groups

multiplication in H-space and loopspace of the H-space

Is torus w. disc removed homotopic to Klein bottle w. disc removed?

Spaces homotopy equivalent to finite CW complexes

Homotopy $I^2 \rightarrow S^1$ lifting lemma proof

$(0,1) \simeq [0,1] $ but not homeomorphic

How does one compute the Hurewicz homomorphism for a (symplectic) nilmanifold?

Do path homotopy classes of concatenated paths have a middle fixed point?

Converse of realisation lemma for bisimplicial sets

Are there any nontrivial second Hurewicz homomorphisms for familiar compact 6-dimensional manifolds?

CW complex structure for $\mathbb{R}P^n$ or a space homotopy equivalent

Removing cells from CW complex and without changing the homotopy type

Homotopy category of a simplicial category

Fibration: if map $i^: H^(X, G) \to H^(F, G)$ is surjective, then action of $\pi_1(B)$ on $H^(F, G)$ trivial?

Show that $f$ is homotopic to $g$.

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