Question

The exact sequence associated to a distinguished triangle

score 365 · Answer 1 · 2026-05-10 13:48:04

365

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The exact sequence associated to a distinguished triangle

Published on 10 May 2026 - 13:48

score 54 · Answer 2 · 2026-05-10 14:45:41

54

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injective objects for section functor

Published on 10 May 2026 - 14:45

score 431 · Answer 3 · 2026-05-10 13:34:40

431

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For $d\mid m$, $\mathbb{Z}/d\mathbb{Z}$ is not an injective $\mathbb{Z}/m\mathbb{Z}$-module when some prime divides $d$ and $\frac{m}{d}$

Published on 10 May 2026 - 13:34

score 711 · Answer 4 · 2026-05-10 22:18:01

711

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Homology of free loop space and Hochschild cohomology

Published on 10 May 2026 - 22:18

score 55 · Answer 5 · 2026-04-15 05:21:55

55

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Compute cohomologies of the complexes $\Lambda V$ and $\Lambda V^*$

Published on 15 Apr 2026 - 5:21

score 173 · Answer 6 · 2026-04-14 02:59:11

173

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Showing that a short exact sequence has a corresponding internal direct sum sequence

Published on 14 Apr 2026 - 2:59

score 91 · Answer 7 · 2026-04-13 04:52:51

91

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A question on filtered complexes

Published on 13 Apr 2026 - 4:52

score 948 · Answer 8 · 2026-04-13 00:55:54

948

Views

Definition of minimal free resolution

Published on 13 Apr 2026 - 0:55

score 562 · Answer 9 · 2026-04-16 03:05:33

562

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Direct limit over cofinal sets is isomorphic to the original direct limit

Published on 16 Apr 2026 - 3:05

score 620 · Answer 10 · 2026-04-12 12:04:14

620

Views

Can we use the internal logic of a category to do diagram chases "as in $\mathbf{Ab}$" ?

Published on 12 Apr 2026 - 12:04

score 373 · Answer 11 · 2026-04-15 09:01:53

373

Views

Minimal free resolution and minimal injective resolution

Published on 15 Apr 2026 - 9:01

score 229 · Answer 12 · 2026-05-10 16:53:17

229

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Showing that a sequence is exact

Published on 10 May 2026 - 16:53

score 582 · Answer 13 · 2026-04-29 14:11:54

582

Views

Exercise 2.2.3 in Weibel Homological Algebra

Published on 29 Apr 2026 - 14:11

score 92 · Answer 14 · 2026-04-13 07:09:59

92

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Prove that $(g ◦ f)_∗ = g_∗ ◦ f_∗ : H_∗(C_∗) → H_∗(E_∗)$. Also show that $(Id_{C_∗})_∗ = Id_{H∗(C∗)}: H_∗(C_∗) → H_∗(C_∗)$.

Published on 13 Apr 2026 - 7:09

score 115 · Answer 15 · 2026-04-11 08:59:16

115

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Commuting cohomologies for bounded double complex

Published on 11 Apr 2026 - 8:59

List Question

The exact sequence associated to a distinguished triangle

injective objects for section functor

For $d\mid m$, $\mathbb{Z}/d\mathbb{Z}$ is not an injective $\mathbb{Z}/m\mathbb{Z}$-module when some prime divides $d$ and $\frac{m}{d}$

Homology of free loop space and Hochschild cohomology

Compute cohomologies of the complexes $\Lambda V$ and $\Lambda V^*$

Showing that a short exact sequence has a corresponding internal direct sum sequence

A question on filtered complexes

Definition of minimal free resolution

Direct limit over cofinal sets is isomorphic to the original direct limit

Can we use the internal logic of a category to do diagram chases "as in $\mathbf{Ab}$" ?

Minimal free resolution and minimal injective resolution

Showing that a sequence is exact

Exercise 2.2.3 in Weibel Homological Algebra

Prove that $(g ◦ f)_∗ = g_∗ ◦ f_∗ : H_∗(C_∗) → H_∗(E_∗)$. Also show that $(Id_{C_∗})_∗ = Id_{H∗(C∗)}: H_∗(C_∗) → H_∗(C_∗)$.

Commuting cohomologies for bounded double complex

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