List questions from homology-cohomology

Published on 29 Apr 2026 - 12:18

699

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Questions on hypercohomology

Published on 07 May 2026 - 13:27

289

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homology of the union of two circles and a sphere tangent in a point to the two circles

Published on 15 Apr 2026 - 23:04

435

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De Rham Cohomology of the open ball on $\mathbb{R}^n$

Published on 12 Apr 2026 - 6:28

430

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Proof the the general Poincare Lemma $H^(X \times \mathbb{R}) \cong H^(X )$

Published on 10 May 2026 - 20:53

157

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Question on Madsen's proof of the hairy ball theorem

Published on 10 May 2026 - 14:49

52

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How to prove that the map $H^n(M, \mathbb{Z})\otimes \mathbb{R}/\mathbb{Z} \to H^n(M, \mathbb{R})/i(H^n(M, \mathbb{Z})) $ is an isomorphism?

Published on 10 Apr 2026 - 4:09

112

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Local homology of a product having $\mathbb{R}^n$ as one of the factors

Published on 10 May 2026 - 15:26

168

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(Co)homology of a closed 4-manifold with $\mathbb{Z}/p$ coefficients

Published on 16 Apr 2026 - 23:12

52

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Schematic view of (co)homology.

Published on 14 Apr 2026 - 10:15

1.4k

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Why is $H^*(\mathbb{CP}^\infty, \mathbb{Z})$ not $\mathbb{Z}[[x]]$?

Published on 12 May 2026 - 0:02

477

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$S^3 \times S^1$ is not a symplectic manifold?

Published on 14 Apr 2026 - 6:57

35

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Proove that $(c,\omega)=0$

Published on 10 May 2026 - 14:52

302

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Induced map on homology for the surface of genus $g$

Published on 15 Apr 2026 - 3:09

474

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Cohomology of $\Sigma_g$, genus g surface with local coefficient

Published on 15 Apr 2026 - 6:31

List Question

Cohomology and homology of $SU(N)/SO(N)$

Questions on hypercohomology

homology of the union of two circles and a sphere tangent in a point to the two circles

De Rham Cohomology of the open ball on $\mathbb{R}^n$

Proof the the general Poincare Lemma $H^(X \times \mathbb{R}) \cong H^(X )$

Question on Madsen's proof of the hairy ball theorem

How to prove that the map $H^n(M, \mathbb{Z})\otimes \mathbb{R}/\mathbb{Z} \to H^n(M, \mathbb{R})/i(H^n(M, \mathbb{Z})) $ is an isomorphism?

Local homology of a product having $\mathbb{R}^n$ as one of the factors

(Co)homology of a closed 4-manifold with $\mathbb{Z}/p$ coefficients

Schematic view of (co)homology.

Why is $H^*(\mathbb{CP}^\infty, \mathbb{Z})$ not $\mathbb{Z}[[x]]$?

$S^3 \times S^1$ is not a symplectic manifold?

Proove that $(c,\omega)=0$

Induced map on homology for the surface of genus $g$

Cohomology of $\Sigma_g$, genus g surface with local coefficient

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