List questions from homology-cohomology

Published on 30 Mar 2026 - 3:35

816

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Homologous cycle

Published on 02 Jul 2018 - 17:33

602

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Proof of Serre Duality in Hartshorne

Published on 25 Mar 2026 - 7:48

349

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Differences in Homology/Cohomology of a CW Pair (X,A) when A is empty versus a point

Published on 05 Jul 2018 - 17:36

442

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cohomology of $\mathbb{CP}^n$ and $\mathbb{RP}^m$

Published on 25 Mar 2026 - 9:27

901

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$2$-torsion subgroup of $M$ v.s. $M/(2M)$

Published on 25 Mar 2026 - 19:05

1.1k

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how to compute the homology groups of graphs?

Published on 07 Jul 2018 - 10:58

422

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Natural isomorphism of homology theories that factors through Comp

Published on 28 Mar 2026 - 6:16

752

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How to compute homology groups of $S^n$ using excision theorem?

Published on 08 Jul 2018 - 0:31

1.2k

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Induced isomorphism by Homotopy equivalence

Published on 08 Jul 2018 - 0:34

31

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Mayer–Vietoris and powers

Published on 08 Jul 2018 - 11:09

36

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Comparison of cohomologies of spaces over fields.

Published on 10 Jul 2018 - 16:11

1.4k

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Characteristic classes of spheres

Published on 27 Mar 2026 - 1:14

811

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Showing that a group ring is isomorphic to a tensor product

Published on 27 Mar 2026 - 20:20

63

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Connecting homomorphism and fibre transfer

Published on 25 Mar 2026 - 13:42

List Question

Compute homology groups using Mayer-Vietoris sequence

Homologous cycle

Proof of Serre Duality in Hartshorne

Differences in Homology/Cohomology of a CW Pair (X,A) when A is empty versus a point

cohomology of $\mathbb{CP}^n$ and $\mathbb{RP}^m$

$2$-torsion subgroup of $M$ v.s. $M/(2M)$

how to compute the homology groups of graphs?

Natural isomorphism of homology theories that factors through Comp

How to compute homology groups of $S^n$ using excision theorem?

Induced isomorphism by Homotopy equivalence

Mayer–Vietoris and powers

Comparison of cohomologies of spaces over fields.

Characteristic classes of spheres

Showing that a group ring is isomorphic to a tensor product

Connecting homomorphism and fibre transfer

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