List questions from homological-algebra

Published on 25 Mar 2026 - 17:31

310

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Extensions of $\mathbb{Z}_p$ by $\mathbb{Z}$ (Hilton & Stammbach III.1.2)

Published on 08 Sep 2014 - 18:09

2k

Views

Abelian category without enough injectives

Published on 31 Mar 2026 - 23:34

435

Views

About the definition of homology

Published on 09 Sep 2014 - 20:50

714

Views

Difference between two concepts of homotopy for simplicial maps?

Published on 27 Mar 2026 - 3:49

551

Views

The Freyd-Mitchell Embedding Theorem and projective (injective) objects

Published on 13 Sep 2014 - 19:18

1.5k

Views

Exercise 1.1.3 in Charles Weibel’s book “An Introduction to Homological Algebra”

Published on 15 Sep 2014 - 9:53

167

Views

Basic idea for finding critical point via Morse theory

Published on 25 Mar 2026 - 16:06

949

Views

Learning roadmap in Algebra

Published on 28 Mar 2026 - 20:50

128

Views

A variant of projective objects?

Published on 19 Sep 2014 - 0:11

318

Views

Free objects in the category of dg modules

Published on 19 Sep 2014 - 1:43

487

Views

On the relations between rank and torsion of homology and cohomology of a CW pair.

Published on 23 Sep 2014 - 2:43

77

Views

Ext groups for fraction field and a module annihilated by an element

Published on 24 Sep 2014 - 1:15

449

Views

Quasi-isomorphism from "almost acyclic" complex to its homology

Published on 24 Sep 2014 - 8:18

851

Views

Elementary way to show the exact sequence $0 \to M \to \mathbf Z^2 \to \mathbf Z \to 0$ implies $M = \mathbf Z$

Published on 25 Sep 2014 - 16:56

List Question

Morse theory Vs degree theory

Extensions of $\mathbb{Z}_p$ by $\mathbb{Z}$ (Hilton & Stammbach III.1.2)

Abelian category without enough injectives

About the definition of homology

Difference between two concepts of homotopy for simplicial maps?

The Freyd-Mitchell Embedding Theorem and projective (injective) objects

Exercise 1.1.3 in Charles Weibel’s book “An Introduction to Homological Algebra”

Basic idea for finding critical point via Morse theory

Learning roadmap in Algebra

A variant of projective objects?

Free objects in the category of dg modules

On the relations between rank and torsion of homology and cohomology of a CW pair.

Ext groups for fraction field and a module annihilated by an element

Quasi-isomorphism from "almost acyclic" complex to its homology

Elementary way to show the exact sequence $0 \to M \to \mathbf Z^2 \to \mathbf Z \to 0$ implies $M = \mathbf Z$

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