List questions from homotopy-theory

Published on 01 Apr 2026 - 7:31

429

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Homotopy groups of unitary groups

Published on 10 Apr 2026 - 7:27

636

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Is this Space Homotopy Equivalent to $S^2$

Published on 15 Apr 2026 - 11:41

141

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Homotopy for the complement when slightly thickening a subspace of $ℝ^n$

Published on 16 Apr 2026 - 5:06

644

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Role of the Thom space in the Pontryagin-Thom construction

Published on 14 Apr 2026 - 11:22

604

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The cone minus its apex deformation retracts onto its basis

Published on 14 Apr 2026 - 9:17

269

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Realization (in the sense of homotopy coherent nerve) of $\partial\Delta^n$

Published on 11 Apr 2026 - 3:58

323

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Homotopy groups relating to toric varieties

Published on 06 Apr 2026 - 17:07

268

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Homotopy classes of maps from the projective plane to $S^1 \times S^3$

Published on 15 Apr 2026 - 23:05

91

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Can all null-homotopy be made differentiable on arbitrary metric space?

Published on 18 Apr 2026 - 2:51

380

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A doubt in Hatcher's Algebraic Topology.

Published on 14 Apr 2026 - 8:38

188

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If a thread is pulled out of a floating blob of water, must the thread be tangent to the surface of the blob at some point?

Published on 12 Apr 2026 - 9:52

292

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definitions of various spectra: $E^X$ and $E \wedge \Sigma^\infty X$

Published on 16 Apr 2026 - 13:31

1.1k

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Exercise 2, chapter 4, Hatcher.

Published on 12 Apr 2026 - 19:16

1.7k

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Showing that two maps of the sphere are homotopic if their values are never antipodal

Published on 14 Apr 2026 - 8:33

List Question

$\pi_0$ of $M(2) \wedge M(2)$

Homotopy groups of unitary groups

Is this Space Homotopy Equivalent to $S^2$

Homotopy for the complement when slightly thickening a subspace of $ℝ^n$

Role of the Thom space in the Pontryagin-Thom construction

The cone minus its apex deformation retracts onto its basis

Realization (in the sense of homotopy coherent nerve) of $\partial\Delta^n$

Homotopy groups relating to toric varieties

Homotopy classes of maps from the projective plane to $S^1 \times S^3$

Can all null-homotopy be made differentiable on arbitrary metric space?

A doubt in Hatcher's Algebraic Topology.

If a thread is pulled out of a floating blob of water, must the thread be tangent to the surface of the blob at some point?

definitions of various spectra: $E^X$ and $E \wedge \Sigma^\infty X$

Exercise 2, chapter 4, Hatcher.

Showing that two maps of the sphere are homotopic if their values are never antipodal

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