List questions from exact-sequence

Published on 01 Nov 2019 - 19:01

83

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Exact sequence of left $R$-module

Published on 04 Nov 2019 - 12:16

83

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What does it mean by "the diagram commutes by naturality"?

Published on 04 Nov 2019 - 15:56

24

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Exact sequence $A\hookrightarrow B\to C\to\cdots$ and kernel

Published on 08 Nov 2019 - 19:10

46

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If there exists a split short exact sequence of groups,then $N$ has a complement $H$ in $G$

Published on 10 Nov 2019 - 6:51

90

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Compute the first simplicial homology group of the $r$-point union of two topological manifolds

Published on 11 Nov 2019 - 13:00

800

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Exact sequence and flasque sheaves

Published on 12 Nov 2019 - 8:55

463

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Show that $0 \to \operatorname{Ker} \partial \to C_n \to \operatorname{Im} \partial \to 0$ splits.

Published on 26 Mar 2026 - 8:02

36

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Understanding the statement of Q.15 in section 2.1 in AT.

Published on 18 Nov 2019 - 0:02

102

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Undestanding why retraction turns the LES of relative homology groups to SES on pg.147 AT.

Published on 18 Nov 2019 - 1:22

2.5k

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Proving the Splitting Lemma on pg.147 in AT.

Published on 18 Nov 2019 - 1:57

129

Views

$M'\to M \to M''\to 0$ is exact

Published on 20 Nov 2019 - 14:37

85

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Underderstanding the solution of problem #2.1.4 in AT.

Published on 23 Nov 2019 - 13:30

43

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Understanding Lemma 2.1 on pg.105 in AT.

Published on 23 Nov 2019 - 14:37

46

Views

Understanding a paragraph on pg.134 in AT.

Published on 24 Nov 2019 - 18:31

List Question

Is it true that Coker$(g)\simeq M$?

Exact sequence of left $R$-module

What does it mean by "the diagram commutes by naturality"?

Exact sequence $A\hookrightarrow B\to C\to\cdots$ and kernel

If there exists a split short exact sequence of groups,then $N$ has a complement $H$ in $G$

Compute the first simplicial homology group of the $r$-point union of two topological manifolds

Exact sequence and flasque sheaves

Show that $0 \to \operatorname{Ker} \partial \to C_n \to \operatorname{Im} \partial \to 0$ splits.

Understanding the statement of Q.15 in section 2.1 in AT.

Undestanding why retraction turns the LES of relative homology groups to SES on pg.147 AT.

Proving the Splitting Lemma on pg.147 in AT.

$M'\to M \to M''\to 0$ is exact

Underderstanding the solution of problem #2.1.4 in AT.

Understanding Lemma 2.1 on pg.105 in AT.

Understanding a paragraph on pg.134 in AT.

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