List questions from homological-algebra

Published on 13 May 2026 - 11:38

825

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Enough injectives in the category of chain complexes

Published on 10 May 2026 - 16:05

205

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Relation between the $2^n$-Bockstein homomorphisms

Published on 11 May 2026 - 5:12

291

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Any references for Wall's Lemma of exactness?

Published on 14 Apr 2026 - 6:27

209

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Applying a functor to a homotopy of chain maps yields an isomorphism of homology groups?

Published on 10 May 2026 - 14:32

626

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Functor preserving long exact sequences

Published on 10 May 2026 - 20:49

963

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free chain complex is acyclic iff contracting homotopy explanation

Published on 14 Apr 2026 - 6:49

543

Views

Why is the etale map an open map?

Published on 11 May 2026 - 10:00

126

Views

Additive functor on a long exact sequence

Published on 12 Apr 2026 - 23:26

79

Views

How does coassociativity of a coalgebra $C$ imply that the derivation on $\Omega C$ is a differential?

Published on 10 May 2026 - 15:02

537

Views

Finding a chain map from an $F$-acyclic resolution to an injective resolution which is a monomorphism in each degree

Published on 13 Apr 2026 - 6:32

868

Views

Showing that effaceable delta-functors are universal

Published on 11 Apr 2026 - 13:28

85

Views

Construction of "etale associated-sheaf" in Rotman's

Published on 15 Apr 2026 - 8:37

21

Views

Proving $Ind^{G}_{H}M:=M\bigotimes_{RH}RG$, where $M$ is projective, is projective.

Published on 16 Apr 2026 - 17:17

280

Views

Prove that $\mathbb{Z}_2 \otimes_\mathbb{Z}$ is not exact.

Published on 12 Apr 2026 - 16:56

List Question

A question related to group cohomology and spectral sequences

Enough injectives in the category of chain complexes

Relation between the $2^n$-Bockstein homomorphisms

Any references for Wall's Lemma of exactness?

Applying a functor to a homotopy of chain maps yields an isomorphism of homology groups?

Functor preserving long exact sequences

free chain complex is acyclic iff contracting homotopy explanation

Why is the etale map an open map?

Additive functor on a long exact sequence

How does coassociativity of a coalgebra $C$ imply that the derivation on $\Omega C$ is a differential?

Finding a chain map from an $F$-acyclic resolution to an injective resolution which is a monomorphism in each degree

Showing that effaceable delta-functors are universal

Construction of "etale associated-sheaf" in Rotman's

Proving $Ind^{G}_{H}M:=M\bigotimes_{RH}RG$, where $M$ is projective, is projective.

Prove that $\mathbb{Z}_2 \otimes_\mathbb{Z}$ is not exact.

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