List questions from homotopy-theory

Published on 29 Apr 2026 - 12:45

77

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Existence of a pointed homotopy given a homotopy - under what assumptions?

Published on 14 Apr 2026 - 13:02

146

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Describing the homotopy explicitly.

Published on 10 Apr 2026 - 23:49

68

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$\mathfrak{h}(\mathcal{G}^{\Delta^1})$ is the category of commutative squares in $\mathfrak{h}\mathcal{G}$

Published on 23 Apr 2026 - 22:12

70

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X contractible iff identity is nullhomotopic - Question to spot my mistake

Published on 10 Apr 2026 - 19:58

163

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Pullback of a covering map along the covering map.

Published on 25 Mar 2026 - 12:53

62

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A morphism with RLP wrt to all $R(n)\to R[n+1]$ is a weak equivalence

Published on 24 Apr 2026 - 9:14

31

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Homotopy on Fin$_3(\mathbb{S}^1)$, Curtis and Nguyen article

Published on 14 Apr 2026 - 9:52

75

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Path-connectedness invariant under homotopy equivalence proof w/ category theory

Published on 14 Apr 2026 - 3:35

162

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Linear part of a cdga differential

Published on 29 Apr 2026 - 12:55

24

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Exercise 12 Chapter 1 - Computational topology for DA by Krishna Dey & Wang

Published on 26 Mar 2026 - 4:30

80

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Texts to initiate in the theory of homotopy

Published on 12 Apr 2026 - 9:36

55

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Closed Hilbert half-space

Published on 26 Mar 2026 - 17:51

386

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Is there a notion of homology equivalence of spaces, similar to how there is homotopy equivalence?

Published on 14 Apr 2026 - 19:39

120

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Geometric Fixed Points of Thom Spectrum

Published on 26 Apr 2026 - 1:05

List Question

Visualizing the Poincare homology sphere

Existence of a pointed homotopy given a homotopy - under what assumptions?

Describing the homotopy explicitly.

$\mathfrak{h}(\mathcal{G}^{\Delta^1})$ is the category of commutative squares in $\mathfrak{h}\mathcal{G}$

X contractible iff identity is nullhomotopic - Question to spot my mistake

Pullback of a covering map along the covering map.

A morphism with RLP wrt to all $R(n)\to R[n+1]$ is a weak equivalence

Homotopy on Fin$_3(\mathbb{S}^1)$, Curtis and Nguyen article

Path-connectedness invariant under homotopy equivalence proof w/ category theory

Linear part of a cdga differential

Exercise 12 Chapter 1 - Computational topology for DA by Krishna Dey & Wang

Texts to initiate in the theory of homotopy

Closed Hilbert half-space

Is there a notion of homology equivalence of spaces, similar to how there is homotopy equivalence?

Geometric Fixed Points of Thom Spectrum

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