List questions from exact-sequence

Published on 27 Mar 2026 - 2:35

427

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Additivity of Euler characteristic

Published on 21 May 2020 - 21:15

88

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Split exact short sequence

Published on 22 May 2020 - 15:24

175

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Split and non splitting short exact sequence

Published on 22 May 2020 - 16:29

100

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Split exact sequence of linear maps implies split exact sequence of linear hom maps

Published on 22 May 2020 - 16:35

51

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Is there a way of speaking about exact sequences in a category "nice enough" but without zero object?

Published on 25 May 2020 - 8:15

82

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Why is $ 0 \to \ker h \xrightarrow {i_h} H^n(C,g) \xrightarrow {h} Hom(H^n(C),G) \to 0 $ (Hathcher's p192) split exact?

Published on 30 May 2020 - 11:07

324

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Finite index subgroups of group extensions such that the quotient map is injective

Published on 26 Mar 2026 - 21:53

191

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Show that $K_n(\mathbb{T}A)$ is isomorphic to $K_n(A) \oplus K_{n+1} (A)$ for every positive integer n.

Published on 25 Mar 2026 - 15:53

443

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Exact sequence of ideals: intersection, product, direct sum, sum

Published on 03 Jun 2020 - 17:32

264

Views

Short exact sequence of vector spaces

Published on 05 Jun 2020 - 10:05

207

Views

Relation between annihilators and exact sequence

Published on 05 Jun 2020 - 19:14

444

Views

Homology of genus two surface with 3 disjoint holes.

Published on 08 Jun 2020 - 18:56

975

Views

Group cohomology of finite cyclic group

Published on 27 Mar 2026 - 2:35

83

Views

Exact sequences (homomorphism of short exact sequences)

Published on 12 Jun 2020 - 23:42

List Question

Homology with Coefficients of an abelian group

Additivity of Euler characteristic

Split exact short sequence

Split and non splitting short exact sequence

Split exact sequence of linear maps implies split exact sequence of linear hom maps

Is there a way of speaking about exact sequences in a category "nice enough" but without zero object?

Why is $ 0 \to \ker h \xrightarrow {i_h} H^n(C,g) \xrightarrow {h} Hom(H^n(C),G) \to 0 $ (Hathcher's p192) split exact?

Finite index subgroups of group extensions such that the quotient map is injective

Show that $K_n(\mathbb{T}A)$ is isomorphic to $K_n(A) \oplus K_{n+1} (A)$ for every positive integer n.

Exact sequence of ideals: intersection, product, direct sum, sum

Short exact sequence of vector spaces

Relation between annihilators and exact sequence

Homology of genus two surface with 3 disjoint holes.

Group cohomology of finite cyclic group

Exact sequences (homomorphism of short exact sequences)

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