List questions from homology-cohomology

Published on 22 Mar 2026 - 19:46

693

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Questions on hypercohomology

Published on 22 Mar 2026 - 0:08

286

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

Published on 01 Apr 2018 - 23:16

433

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

Published on 26 Mar 2026 - 10:45

427

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

Published on 25 Mar 2026 - 16:03

154

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Question on Madsen's proof of the hairy ball theorem

Published on 24 Mar 2026 - 23:46

49

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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 05 Apr 2018 - 20:52

109

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

Published on 25 Mar 2026 - 4:43

163

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

Published on 06 Apr 2018 - 16:15

50

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Schematic view of (co)homology.

Published on 25 Mar 2026 - 19:10

1.4k

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

Published on 23 Mar 2026 - 6:50

475

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

Published on 25 Mar 2026 - 19:11

31

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

Published on 25 Mar 2026 - 14:15

300

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

Published on 11 Apr 2018 - 16:13

471

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

Published on 12 Apr 2018 - 7:38

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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