List questions from algebraic-topology

Published on 25 Mar 2026 - 4:38

167

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$ \operatorname{Ext}_{k[x]}^n(k,k)$ for a field $k$

Published on 31 Mar 2026 - 13:08

103

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Ring isomorphism in Leray-Serre spectral sequence

Published on 25 Mar 2026 - 11:25

105

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How to get the cohomology group in the exact sequence? $B_n^* \leftarrow Z_n^* \leftarrow H^n(C;G) \leftarrow B_{n-1}^* \leftarrow Z_{n-1}^*$

Published on 31 Mar 2026 - 23:51

74

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$H$ is admissible, then $P\rightarrow P/H$ is a principle $H$ -bundle.

Published on 25 Mar 2026 - 3:20

495

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Definition of "transversal intersection" for piecewise linear submanifolds

Published on 25 Mar 2026 - 9:26

43

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Let $\gamma\in S_{n+1}$ act naturally on $\Delta^n$, then for some $\sigma:\Delta^n\to X$, $\sigma\circ\gamma=\mathrm{sgn}(\gamma)\sigma$ in homology

Published on 21 Jan 2019 - 10:42

301

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Help with homology axioms

Published on 31 Mar 2026 - 23:50

178

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Torsion in Cokernel is Annihilated by Integer

Published on 25 Mar 2026 - 20:41

83

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If $f: I \to X$ is a path and $c: I \to X$ the constant path $c(s)=f(1)$, how is $f \cdot c$ a reparametrization of $f$

Published on 29 Mar 2026 - 20:17

266

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Is there a non-simply connected subspace of $\mathbb R^2$ with trivial first homology?

Published on 22 Jan 2019 - 6:37

301

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proving property ( and Brouwer's fixed point theorem)

Published on 22 Jan 2019 - 11:08

106

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Homology groups of the set with Mayer-Veitoris

Published on 31 Mar 2026 - 13:14

1.1k

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This covering map is homeomorphism

Published on 26 Mar 2026 - 1:00

265

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The fundamental group of the Lattice - (R x Z) U (Z x R)

Published on 25 Mar 2026 - 22:05

List Question

Homeomorphism between the unit disc and the unit square

$ \operatorname{Ext}_{k[x]}^n(k,k)$ for a field $k$

Ring isomorphism in Leray-Serre spectral sequence

How to get the cohomology group in the exact sequence? $B_n^* \leftarrow Z_n^* \leftarrow H^n(C;G) \leftarrow B_{n-1}^* \leftarrow Z_{n-1}^*$

$H$ is admissible, then $P\rightarrow P/H$ is a principle $H$ -bundle.

Definition of "transversal intersection" for piecewise linear submanifolds

Let $\gamma\in S_{n+1}$ act naturally on $\Delta^n$, then for some $\sigma:\Delta^n\to X$, $\sigma\circ\gamma=\mathrm{sgn}(\gamma)\sigma$ in homology

Help with homology axioms

Torsion in Cokernel is Annihilated by Integer

If $f: I \to X$ is a path and $c: I \to X$ the constant path $c(s)=f(1)$, how is $f \cdot c$ a reparametrization of $f$

Is there a non-simply connected subspace of $\mathbb R^2$ with trivial first homology?

proving property ( and Brouwer's fixed point theorem)

Homology groups of the set with Mayer-Veitoris

This covering map is homeomorphism

The fundamental group of the Lattice - (R x Z) U (Z x R)

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