List questions from homology-cohomology

Published on 28 Sep 2019 - 23:03

251

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Is there a hole in the Galilean group?

Published on 01 Apr 2026 - 7:52

252

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Cohomology to compute number of holes?

Published on 26 Mar 2026 - 14:34

56

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Show: if an abelian group is a $G$-module, it is also a $\mathbb{Z}G$-module.

Published on 13 Mar 2014 - 22:48

115

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Existence of Boundary Homomorphisms for Cohomology

Published on 14 Mar 2014 - 6:50

102

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Homotopy between two homomorphisms and homology

Published on 23 Mar 2026 - 3:21

782

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Relation between $K$-theories

Published on 01 Apr 2026 - 3:39

170

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Why do we have $H_2(X,\mathbb Z)\cong\mathbb Z$ for the quintic threefold $X\subset\mathbb P^4$?

Published on 16 Mar 2014 - 18:32

114

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Second Hochschild cohomology and extensions

Published on 23 Mar 2026 - 5:09

964

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If M is a non-orientable closed connected 3 manifold prove H1(M) is an infinite group.

Published on 17 Mar 2014 - 16:34

650

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Cohomological Whitehead theorem

Published on 27 Mar 2026 - 0:02

1k

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Dolbeault cohomology on torus

Published on 01 Apr 2026 - 15:52

1.9k

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How do you compute group cohomology in practice?

Published on 26 Mar 2026 - 8:05

42

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Show that $H^{\prime} \cap A$ is a homomorphic image of $M(G)$

Published on 20 Mar 2014 - 6:36

338

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Relating Ext groups of abelian groups and group cohomology

Published on 27 Mar 2026 - 17:57

List Question

Can we always connect two homologous paths by a surface?

Is there a hole in the Galilean group?

Cohomology to compute number of holes?

Show: if an abelian group is a $G$-module, it is also a $\mathbb{Z}G$-module.

Existence of Boundary Homomorphisms for Cohomology

Homotopy between two homomorphisms and homology

Relation between $K$-theories

Why do we have $H_2(X,\mathbb Z)\cong\mathbb Z$ for the quintic threefold $X\subset\mathbb P^4$?

Second Hochschild cohomology and extensions

If M is a non-orientable closed connected 3 manifold prove H1(M) is an infinite group.

Cohomological Whitehead theorem

Dolbeault cohomology on torus

How do you compute group cohomology in practice?

Show that $H^{\prime} \cap A$ is a homomorphic image of $M(G)$

Relating Ext groups of abelian groups and group cohomology

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