Question

The direct sum of any family of objects

score 166 · Answer 1 · 2026-03-29 16:50:08

166

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The direct sum of any family of objects

Published on 29 Mar 2026 - 16:50

score 45 · Answer 2 · 2026-03-25 09:49:31

45

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Thom spectrum $MSpin$ and $E_2$-page for a large degree $i\geq 8$

Published on 25 Mar 2026 - 9:49

score 937 · Answer 3 · 2026-03-26 03:01:47

937

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Linking number and cup product

Published on 26 Mar 2026 - 3:01

score 158 · Answer 4 · 2026-03-22 14:26:14

158

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When compactly supported cohomology ring is zero?

Published on 22 Mar 2026 - 14:26

score 1k · Answer 5 · 2018-09-15 16:20:38

1k

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Question about showing $\mathbb{R}P^{3}$ is not homotopy equivalent to $\mathbb{R}P^{2} \vee S^3$.

Published on 15 Sep 2018 - 16:20

score 272 · Answer 6 · 2018-09-16 00:16:57

272

Views

Reduced cohomology relation to regular cohomology

Published on 16 Sep 2018 - 0:16

score 66 · Answer 7 · 2018-09-16 04:13:33

66

Views

Retraction $S^2 \vee S^4 \rightarrow S^2$ collapsing $S^4$ to the wedge point induces homomorphism on second cohomology.

Published on 16 Sep 2018 - 4:13

score 46 · Answer 8 · 2026-03-28 06:21:05

46

Views

Example of rationally acyclic open non-oriented manifold.

Published on 28 Mar 2026 - 6:21

score 342 · Answer 9 · 2026-03-28 06:15:50

342

Views

Gaining an appreciation for homology class representatives in $\mathbb CP^n$.

Published on 28 Mar 2026 - 6:15

score 664 · Answer 10 · 2018-09-16 20:43:14

664

Views

$S^2 \times S^4$ is not homotopy equivalent to $\mathbb{C}P^3$ using cohomology rings

Published on 16 Sep 2018 - 20:43

score 749 · Answer 11 · 2026-03-25 17:42:19

749

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How to compute cellular homology of a handle decomposition $D^m\cup H^{\gamma_1}\cup\dots\cup H^{\gamma_N}$

Published on 25 Mar 2026 - 17:42

score 418 · Answer 12 · 2026-03-25 11:02:49

418

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The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

Published on 25 Mar 2026 - 11:02

score 88 · Answer 13 · 2026-03-25 04:37:20

88

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Computing Ext for a complex of modules, help with a proof in Stacks Project

Published on 25 Mar 2026 - 4:37

score 96 · Answer 14 · 2026-03-22 20:07:05

96

Views

Top non-zero Betti number of connected manifold of finite type.

Published on 22 Mar 2026 - 20:07

score 253 · Answer 15 · 2026-03-28 06:18:03

253

Views

Künneth theorem for compactly supported cohomology of manifold.

Published on 28 Mar 2026 - 6:18

List Question

The direct sum of any family of objects

Thom spectrum $MSpin$ and $E_2$-page for a large degree $i\geq 8$

Linking number and cup product

When compactly supported cohomology ring is zero?

Question about showing $\mathbb{R}P^{3}$ is not homotopy equivalent to $\mathbb{R}P^{2} \vee S^3$.

Reduced cohomology relation to regular cohomology

Retraction $S^2 \vee S^4 \rightarrow S^2$ collapsing $S^4$ to the wedge point induces homomorphism on second cohomology.

Example of rationally acyclic open non-oriented manifold.

Gaining an appreciation for homology class representatives in $\mathbb CP^n$.

$S^2 \times S^4$ is not homotopy equivalent to $\mathbb{C}P^3$ using cohomology rings

How to compute cellular homology of a handle decomposition $D^m\cup H^{\gamma_1}\cup\dots\cup H^{\gamma_N}$

The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

Computing Ext for a complex of modules, help with a proof in Stacks Project

Top non-zero Betti number of connected manifold of finite type.

Künneth theorem for compactly supported cohomology of manifold.

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