List questions from homotopy-theory

Published on 13 Apr 2026 - 21:23

682

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number of sheets of covering map

Published on 16 Apr 2026 - 3:15

1.9k

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Visualizing Hopf fibration $S^3\to S^2$ as a based map $S^1\to \mathrm{Map}(S^2,S^2)$

Published on 11 May 2026 - 0:47

82

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Perturbation/Homotopy of injective map by injective map is injective?

Published on 15 Apr 2026 - 4:02

348

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direct sums in homotopy category

Published on 26 Apr 2026 - 1:22

194

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Smash product to describe multiplication in H-spaces

Published on 10 Apr 2026 - 16:27

51

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Say if the following function is nulhomotopic

Published on 09 Apr 2026 - 16:21

220

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A compact convex subset is a strong deformation retract

Published on 09 Apr 2026 - 16:18

113

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Dyer-Lashof algebra and Steenrod algebra "duality"

Published on 14 Apr 2026 - 3:36

66

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Describing maps $\mathbb{R}^n \to \mathbb{R}^m$ up to homotopy

Published on 15 Apr 2026 - 23:53

53

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Is it true that $X\simeq X'$, $Y\simeq Y'$ implies $Y/f(X)\simeq Y'/f'(X')$?

Published on 12 Apr 2026 - 18:56

75

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Principal G Bundles and Lifts of Maps of the Base Space

Published on 16 May 2026 - 9:49

31

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Determine the collection of fundamental classes of (R\{0},1)

Published on 14 Apr 2026 - 10:01

94

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Tubular neighbourhood of a contractible loop

Published on 10 Apr 2026 - 16:44

1.2k

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Determine the fundamental class of $D^2$, where $D$ is a disk.

Published on 14 Apr 2026 - 0:59

List Question

Existence/uniqueness and injectivity of lifting map

number of sheets of covering map

Visualizing Hopf fibration $S^3\to S^2$ as a based map $S^1\to \mathrm{Map}(S^2,S^2)$

Perturbation/Homotopy of injective map by injective map is injective?

direct sums in homotopy category

Smash product to describe multiplication in H-spaces

Say if the following function is nulhomotopic

A compact convex subset is a strong deformation retract

Dyer-Lashof algebra and Steenrod algebra "duality"

Describing maps $\mathbb{R}^n \to \mathbb{R}^m$ up to homotopy

Is it true that $X\simeq X'$, $Y\simeq Y'$ implies $Y/f(X)\simeq Y'/f'(X')$?

Principal G Bundles and Lifts of Maps of the Base Space

Determine the collection of fundamental classes of (R\{0},1)

Tubular neighbourhood of a contractible loop

Determine the fundamental class of $D^2$, where $D$ is a disk.

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