List questions from homological-algebra

Published on 10 May 2026 - 15:29

428

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P is a projective module. Prove that there exists $F$ free such that $P \oplus F \cong F$

Published on 10 May 2026 - 14:07

214

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How do continuous maps between spaces induce homomorphisms between Cech cohomologies?

Published on 10 Apr 2026 - 11:02

115

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Derived functor of derivation?

Published on 11 Apr 2026 - 11:41

259

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Does the differential of an augmented dga algebra fix the augmentation ideal?

Published on 10 May 2026 - 19:35

68

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Proof in Lee's Introduction to Topological manifolds

Published on 09 Apr 2026 - 0:12

28

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Two questions about the functor $DHom_{\Gamma}(-,I)$

Published on 10 Apr 2026 - 2:18

242

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References about universal extension

Published on 09 Apr 2026 - 13:37

53

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How to show $f^{-1}(D)/f^{-1}(C)\simeq D/C$ by the language of Abelian category?

Published on 17 Apr 2026 - 12:47

37

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reverse of a sequence in homological algebra

Published on 15 Apr 2026 - 18:24

368

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How to prove the sufficient and necessary conditions of pullback square?

Published on 13 Apr 2026 - 0:09

254

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Singular chain complex as a graded algebra

Published on 10 May 2026 - 18:46

399

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Cap product for Hochschild (co)chains

Published on 07 May 2026 - 13:57

193

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How is the differential induced by $d_C$ on $\Omega C$ defined for $(C,d_C)$ is a dga coalgebra?

Published on 10 May 2026 - 20:40

136

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Group actions on spectral sequences of group cohomology

Published on 13 May 2026 - 4:28

List Question

Understanding $\operatorname{Ext}_R^1(M,A)$ as obstructions to lifting homomorphisms

P is a projective module. Prove that there exists $F$ free such that $P \oplus F \cong F$

How do continuous maps between spaces induce homomorphisms between Cech cohomologies?

Derived functor of derivation?

Does the differential of an augmented dga algebra fix the augmentation ideal?

Proof in Lee's Introduction to Topological manifolds

Two questions about the functor $DHom_{\Gamma}(-,I)$

References about universal extension

How to show $f^{-1}(D)/f^{-1}(C)\simeq D/C$ by the language of Abelian category?

reverse of a sequence in homological algebra

How to prove the sufficient and necessary conditions of pullback square?

Singular chain complex as a graded algebra

Cap product for Hochschild (co)chains

How is the differential induced by $d_C$ on $\Omega C$ defined for $(C,d_C)$ is a dga coalgebra?

Group actions on spectral sequences of group cohomology

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