Question

Isomorphism between torsion subgroups of $H_q (M)$ and $H_{n-q-1} (M)$ where $M$ is a compact oriented $n$-manifold

score 362 · Answer 1 · 2019-01-03 14:04:54

362

Views

Isomorphism between torsion subgroups of $H_q (M)$ and $H_{n-q-1} (M)$ where $M$ is a compact oriented $n$-manifold

Published on 03 Jan 2019 - 14:04

score 21 · Answer 2 · 2026-03-25 04:43:57

21

Views

Can we deduce that $M_0$ is a submodule of the limit of the following diagram?

Published on 25 Mar 2026 - 4:43

score 150 · Answer 3 · 2019-01-05 06:19:16

150

Views

differential on total chain complex

Published on 05 Jan 2019 - 6:19

score 1k · Answer 4 · 2019-01-05 16:33:37

1k

Views

Calculating $ \operatorname{Ext}(\mathbb{Z}/2, \mathbb{Z}/2)$ over $\mathbb{Z}$

Published on 05 Jan 2019 - 16:33

score 27 · Answer 5 · 2019-01-06 00:27:19

27

Views

For a group homomorphism $\alpha : G\rightarrow G'$, does the pullback $\alpha^\# : Mod(G')\rightarrow Mod(G)$ send $G'$-projectives to $G$-acyclics?

Published on 06 Jan 2019 - 0:27

score 332 · Answer 6 · 2026-03-20 06:09:14

332

Views

quasi isomorphism of two dg algebras

Published on 20 Mar 2026 - 6:09

score 76 · Answer 7 · 2019-01-06 10:25:55

76

Views

A Remark in Weibel's "Introduction to Homological Algebra"

Published on 06 Jan 2019 - 10:25

score 319 · Answer 8 · 2026-03-26 01:25:15

319

Views

cohomological dimension of groups vs cohomological dimension of subgroups

Published on 26 Mar 2026 - 1:25

score 1k · Answer 9 · 2026-03-25 20:52:22

1k

Views

A module $B$ is flat if Tor $= 0$

Published on 25 Mar 2026 - 20:52

score 426 · Answer 10 · 2026-03-25 10:21:57

426

Views

Is additivity necessary for a left exact functor to preserve pullbacks?

Published on 25 Mar 2026 - 10:21

score 128 · Answer 11 · 2026-03-24 22:09:40

128

Views

Two types of Grothendieck groups for rings

Published on 24 Mar 2026 - 22:09

score 52 · Answer 12 · 2026-03-27 15:06:38

52

Views

A different approach towards spectral sequences.

Published on 27 Mar 2026 - 15:06

score 227 · Answer 13 · 2019-01-11 20:44:14

227

Views

Is a left homotopy inverse of a quasi-isomorphism automatically a right homotopy inverse?

Published on 11 Jan 2019 - 20:44

score 47 · Answer 14 · 2026-03-25 09:45:53

47

Views

spectral sequence example diagonal map confusion

Published on 25 Mar 2026 - 9:45

score 707 · Answer 15 · 2019-01-13 07:52:09

707

Views

Projective dimension on a short exact sequence

Published on 13 Jan 2019 - 7:52

List Question

Isomorphism between torsion subgroups of $H_q (M)$ and $H_{n-q-1} (M)$ where $M$ is a compact oriented $n$-manifold

Can we deduce that $M_0$ is a submodule of the limit of the following diagram?

differential on total chain complex

Calculating $ \operatorname{Ext}(\mathbb{Z}/2, \mathbb{Z}/2)$ over $\mathbb{Z}$

For a group homomorphism $\alpha : G\rightarrow G'$, does the pullback $\alpha^\# : Mod(G')\rightarrow Mod(G)$ send $G'$-projectives to $G$-acyclics?

quasi isomorphism of two dg algebras

A Remark in Weibel's "Introduction to Homological Algebra"

cohomological dimension of groups vs cohomological dimension of subgroups

A module $B$ is flat if Tor $= 0$

Is additivity necessary for a left exact functor to preserve pullbacks?

Two types of Grothendieck groups for rings

A different approach towards spectral sequences.

Is a left homotopy inverse of a quasi-isomorphism automatically a right homotopy inverse?

spectral sequence example diagonal map confusion

Projective dimension on a short exact sequence

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