List questions from algebraic-topology

Published on 01 May 2026 - 6:19

597

Views

Is $S^{n-1}$ a deformation retract of $S^{n}$ \ {$k$ points}?

Published on 06 May 2026 - 9:45

178

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Open subset of Euclidean space can't have non-spherical manifold compactification.

Published on 10 May 2026 - 12:42

702

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Fixed points of simplicial maps

Published on 10 May 2026 - 15:16

167

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Degree of maps on the sphere in spherical coordinates

Published on 12 Apr 2026 - 12:14

275

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Degree of the continuous map $S^1 \times S^1 \rightarrow S^2$.

Published on 14 Apr 2026 - 23:00

336

Views

Algebraic geometry and algebraic topology used in string theory

Published on 29 Apr 2026 - 12:05

902

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Fundamental group of common Klein bottle immersion

Published on 09 Apr 2026 - 11:29

325

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Computing the homology of $\mathbb{S}^1$ attached with two $2$-cells via degree $2$ and $3$

Published on 16 Apr 2026 - 4:49

156

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Is an order two homeomorphism of $S^{1}$ orientation reversing?

Published on 13 Apr 2026 - 4:12

90

Views

Homology union three subspaces.

Published on 29 Apr 2026 - 12:56

406

Views

Determining Left Adjoint of Forgetful Functor from $\tau_{*}$ to $\tau$

Published on 29 Apr 2026 - 12:24

414

Views

CW structure on the quotient of group action

Published on 14 Apr 2026 - 10:18

528

Views

Connection between Mayer-Vietoris and higher dimensional Seifert-Van Kampen Theorems

Published on 06 May 2026 - 4:23

159

Views

Monodromy representations and geodesics of singular flat metrics on $\mathbb{H}$

Published on 29 Apr 2026 - 12:26

List Question

Homologically zero circles in smooth manifolds

Is $S^{n-1}$ a deformation retract of $S^{n}$ \ {$k$ points}?

Open subset of Euclidean space can't have non-spherical manifold compactification.

Fixed points of simplicial maps

Degree of maps on the sphere in spherical coordinates

Degree of the continuous map $S^1 \times S^1 \rightarrow S^2$.

Algebraic geometry and algebraic topology used in string theory

Fundamental group of common Klein bottle immersion

Computing the homology of $\mathbb{S}^1$ attached with two $2$-cells via degree $2$ and $3$

Is an order two homeomorphism of $S^{1}$ orientation reversing?

Homology union three subspaces.

Determining Left Adjoint of Forgetful Functor from $\tau_{*}$ to $\tau$

CW structure on the quotient of group action

Connection between Mayer-Vietoris and higher dimensional Seifert-Van Kampen Theorems

Monodromy representations and geodesics of singular flat metrics on $\mathbb{H}$

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