List questions from homotopy-theory

Published on 13 Apr 2026 - 5:34

88

Views

Does $f^{\ast}$ homotopic to $g^{\ast}$ imply $\int f^{\ast} w = \int g^{\ast} w$?

Published on 14 Apr 2026 - 6:15

167

Views

Homotopy continuations for solving systems of equations over a finite field

Published on 15 Apr 2026 - 3:35

70

Views

Existence of a (n-1)-connected map beween CW-spaces

Published on 16 Apr 2026 - 21:07

586

Views

Do homotopy equivalences operate over discrete spaces?

Published on 11 Apr 2026 - 5:07

339

Views

Homotopy of space of immersions, Smale-Hirsch theorem

Published on 28 Apr 2026 - 19:12

1.6k

Views

Homotopic type of $GL^+(n)$, $SL(n)$ and $SO(n)$

Published on 26 Mar 2026 - 2:56

174

Views

Continuous maps to $S^n$ without antipodal pairs are homotopic

Published on 15 Apr 2026 - 10:19

238

Views

Are two equivariant maps between aspherical topological spaces homotopic?

Published on 18 Apr 2026 - 22:21

1.2k

Views

Why does the homotopy lifting property imply that fibers are homotopy equivalent if the base is path connected?

Published on 13 Apr 2026 - 11:11

348

Views

Homotopy Poincaré conjecture - no map inducing the isomorphism on homology

Published on 14 Apr 2026 - 12:34

296

Views

Fundamental group of the complement of $S^1 \cup Z \subset \mathbb{R^3}$

Published on 31 Mar 2026 - 9:44

79

Views

Question about proving Cauchy's integral theorem

Published on 16 Apr 2026 - 22:48

2.2k

Views

Is path-connected a homotopy property of toplogical spaces?

Published on 19 May 2016 - 20:06

303

Views

Trying to Understand Van Kampen Theorem

Published on 05 May 2026 - 19:18

List Question

Why does this have to be $f(0)=g(0)$?

Does $f^{\ast}$ homotopic to $g^{\ast}$ imply $\int f^{\ast} w = \int g^{\ast} w$?

Homotopy continuations for solving systems of equations over a finite field

Existence of a (n-1)-connected map beween CW-spaces

Do homotopy equivalences operate over discrete spaces?

Homotopy of space of immersions, Smale-Hirsch theorem

Homotopic type of $GL^+(n)$, $SL(n)$ and $SO(n)$

Continuous maps to $S^n$ without antipodal pairs are homotopic

Are two equivariant maps between aspherical topological spaces homotopic?

Why does the homotopy lifting property imply that fibers are homotopy equivalent if the base is path connected?

Homotopy Poincaré conjecture - no map inducing the isomorphism on homology

Fundamental group of the complement of $S^1 \cup Z \subset \mathbb{R^3}$

Question about proving Cauchy's integral theorem

Is path-connected a homotopy property of toplogical spaces?

Trying to Understand Van Kampen Theorem

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