List questions from homotopy-theory

Published on 11 Apr 2026 - 18:41

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Möbius strip with multiple twists

Published on 11 Apr 2026 - 18:26

222

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Homotopy in Teichmüller space definition: to be or not to be? That is the question

Published on 09 Apr 2026 - 6:07

165

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Does delooping preserve fiber sequences?

Published on 09 Apr 2026 - 9:16

418

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Manifold without point homotopy equivalent to wedge of $2$-spheres.

Published on 14 Apr 2026 - 21:11

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Intuition behind Abstract Homotopy Theory

Published on 12 Apr 2026 - 11:49

861

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Homology of simplicial set vs homology of its geometric realization?

Published on 12 Apr 2026 - 16:18

385

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Topology of the space of conformal classes of metrics

Published on 13 Apr 2026 - 19:09

108

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Comparing left and right homotopies (without a model structure)

Published on 14 Apr 2026 - 10:06

429

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$f: X \rightarrow Y$ is a homotopy equivalence $\iff$ $X$, $Y$ are both homeomorphic to a deformation retract of a space $Z$.So what?

Published on 12 Apr 2026 - 17:43

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Proving that hopf map from $S^3 \to S^2 $ is not null homotopic

Published on 15 Apr 2026 - 2:53

199

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Mapping cone of $BF:B\mathcal C\to B\mathcal D$ is a classifying space?

Published on 13 Apr 2026 - 6:50

200

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Fundamental groupoid of a Kan complex

Published on 08 Apr 2026 - 19:39

199

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Adjunction between Kan complexes and Groupoids

Published on 11 Apr 2026 - 5:21

90

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Equivariant Whitehead Theorem

Published on 13 Apr 2026 - 9:32

List Question

Is it possible to learn homotopy theory from the perspective of HoTT?

Möbius strip with multiple twists

Homotopy in Teichmüller space definition: to be or not to be? That is the question

Does delooping preserve fiber sequences?

Manifold without point homotopy equivalent to wedge of $2$-spheres.

Intuition behind Abstract Homotopy Theory

Homology of simplicial set vs homology of its geometric realization?

Topology of the space of conformal classes of metrics

Comparing left and right homotopies (without a model structure)

$f: X \rightarrow Y$ is a homotopy equivalence $\iff$ $X$, $Y$ are both homeomorphic to a deformation retract of a space $Z$.So what?

Proving that hopf map from $S^3 \to S^2 $ is not null homotopic

Mapping cone of $BF:B\mathcal C\to B\mathcal D$ is a classifying space?

Fundamental groupoid of a Kan complex

Adjunction between Kan complexes and Groupoids

Equivariant Whitehead Theorem

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