List questions from exact-sequence

Published on 23 Feb 2026 - 2:33

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Questions on Vakil's proof of the qcqs lemma

Published on 11 Feb 2020 - 15:27

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Semidirect product action and its geometry

Published on 25 Mar 2026 - 21:46

541

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For $A \subset X$, $C_n(X) \cong C_{n}(A) \oplus C_n(X,A)$ doesn't imply $H_n(X) \cong H_{n}(A) \oplus H_n(X,A)$ in general.

Published on 12 Feb 2020 - 10:17

251

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Schur-Zassenhaus in finite abelian case

Published on 13 Feb 2020 - 13:22

88

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Equivalent condition to exactness

Published on 26 Mar 2026 - 6:19

77

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Exact sequences of indecomposable Kronecker-modules

Published on 27 Feb 2026 - 16:17

135

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Homological algebra introductory exercise

Published on 20 Feb 2020 - 21:46

202

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Counterexample of Split exact Sequences

Published on 24 Feb 2020 - 1:48

411

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Confusion about equivalent definition of short exact sequence split

Published on 26 Feb 2020 - 4:13

525

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Showing that a sequence of a cofibration is exact.

Published on 23 Feb 2026 - 2:56

109

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Cohomology of $T^{2} \times \mathbb{R}^{2}$

Published on 26 Mar 2026 - 17:32

54

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Group Extension and some statements in MacLane's Book

Published on 11 Mar 2020 - 22:17

38

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Exactness of a certain sequence

Published on 15 Mar 2020 - 19:57

81

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If $0\to \Bbb Z \xrightarrow{(f,-f)} \Bbb Z^2 \xrightarrow{g} \Bbb Z \to 0$ is exact then $f$ is an isomorphism

Published on 18 Mar 2020 - 7:45

List Question

Split exact sequence and reflexive tensor product.

Questions on Vakil's proof of the qcqs lemma

Semidirect product action and its geometry

For $A \subset X$, $C_n(X) \cong C_{n}(A) \oplus C_n(X,A)$ doesn't imply $H_n(X) \cong H_{n}(A) \oplus H_n(X,A)$ in general.

Schur-Zassenhaus in finite abelian case

Equivalent condition to exactness

Exact sequences of indecomposable Kronecker-modules

Homological algebra introductory exercise

Counterexample of Split exact Sequences

Confusion about equivalent definition of short exact sequence split

Showing that a sequence of a cofibration is exact.

Cohomology of $T^{2} \times \mathbb{R}^{2}$

Group Extension and some statements in MacLane's Book

Exactness of a certain sequence

If $0\to \Bbb Z \xrightarrow{(f,-f)} \Bbb Z^2 \xrightarrow{g} \Bbb Z \to 0$ is exact then $f$ is an isomorphism

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