List questions from homology-cohomology

Published on 18 Jun 2018 - 11:42

504

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Higher homology groups of knots and links

Published on 20 Jun 2018 - 5:11

4k

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relative homology is the reduced homology of the quotient

Published on 20 Jun 2018 - 11:12

373

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Orientation of points in cell complexes

Published on 25 Mar 2026 - 7:42

1.4k

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Understanding Hatcher's cup product examples

Published on 23 Jun 2018 - 8:13

116

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reference request: covering spaces classification with $S_i$-Cech Cohomology

Published on 23 Jun 2018 - 16:35

228

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Examples of odd dimensional rationally acyclic closed manifolds.

Published on 27 Mar 2026 - 10:09

136

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$\tilde{H}^n(X,\mathbb{Z})\cong {H}^n(X,\mathbb{Z})\otimes_{\mathbb{Z}}\mathbb{R}$?

Published on 25 Mar 2026 - 3:02

141

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$\mathcal{H}^q$ is a locally constant presheaf

Published on 25 Mar 2026 - 6:02

282

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Rational cohomology ring of complex Grassmannian.

Published on 26 Mar 2026 - 9:41

123

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Cobordant 1-manifolds are homologous?

Published on 25 Mar 2026 - 17:34

46

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Relation of $\mathbb{Z}_2$-cohomology and interger cohomology

Published on 25 Mar 2026 - 3:09

300

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Show a map in cohomology is trivial

Published on 01 Jul 2018 - 17:06

321

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Understanding homologies of pairs and induced maps

Published on 01 Jul 2018 - 18:29

85

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Filling a hole by eliminating a homology class

Published on 01 Jul 2018 - 19:35

List Question

Does there exist $f:M \rightarrow S^n$ s.t. $f_{*}([M])=[S^n]$?

Higher homology groups of knots and links

relative homology is the reduced homology of the quotient

Orientation of points in cell complexes

Understanding Hatcher's cup product examples

reference request: covering spaces classification with $S_i$-Cech Cohomology

Examples of odd dimensional rationally acyclic closed manifolds.

$\tilde{H}^n(X,\mathbb{Z})\cong {H}^n(X,\mathbb{Z})\otimes_{\mathbb{Z}}\mathbb{R}$?

$\mathcal{H}^q$ is a locally constant presheaf

Rational cohomology ring of complex Grassmannian.

Cobordant 1-manifolds are homologous?

Relation of $\mathbb{Z}_2$-cohomology and interger cohomology

Show a map in cohomology is trivial

Understanding homologies of pairs and induced maps

Filling a hole by eliminating a homology class

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