Question

Family of models for singular chain complex with local coefficients.

score 76 · Answer 1 · 2026-05-10 20:39:23

76

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Family of models for singular chain complex with local coefficients.

Published on 10 May 2026 - 20:39

score 178 · Answer 2 · 2026-05-10 15:02:38

178

Views

Integral homology groups of free product of cyclic groups

Published on 10 May 2026 - 15:02

score 83 · Answer 3 · 2026-05-10 14:51:14

83

Views

Checking that the perverse $t$-structure is a $t$-structure

Published on 10 May 2026 - 14:51

score 332 · Answer 4 · 2026-05-10 13:48:32

332

Views

Group homology Künneth Formula

Published on 10 May 2026 - 13:48

score 251 · Answer 5 · 2026-05-10 20:04:15

251

Views

Finitely-generated abelian groups in a long exact sequence

Published on 10 May 2026 - 20:04

score 82 · Answer 6 · 2026-04-15 00:55:21

82

Views

Prove that if there is a homotopy between $f_∗$ and $g_∗$, then the homomorphisms induced by $f_∗$ and $g_∗$ in homology coincide.

Published on 15 Apr 2026 - 0:55

score 42 · Answer 7 · 2026-04-16 02:37:49

42

Views

The functor $F_n:$Alg${}_R\to$ Sets defined by $X\mapsto \{x\in X: x^n=1\}$.

Published on 16 Apr 2026 - 2:37

score 253 · Answer 8 · 2026-05-10 13:50:12

253

Views

Some confusion on the definition of group homology

Published on 10 May 2026 - 13:50

score 156 · Answer 9 · 2026-04-27 14:42:55

156

Views

Understanding the algebra structure of $HH(\mathbb{F}_p)$

Published on 27 Apr 2026 - 14:42

score 330 · Answer 10 · 2026-04-14 14:30:59

330

Views

In which Category Inverse Limit does not exist?

Published on 14 Apr 2026 - 14:30

score 70 · Answer 11 · 2026-05-10 13:49:05

70

Views

Do I correctly understand about the facts on the bar resolution?

Published on 10 May 2026 - 13:49

score 84 · Answer 12 · 2026-04-12 00:50:23

84

Views

$f: C_\to D_$ is a homotopy equivalence between chain complexes. Prove that $f_: H_n(C_)\to H_n(D_*)$ is an isomorphism

Published on 12 Apr 2026 - 0:50

score 2.6k · Answer 13 · 2026-04-10 22:59:20

2.6k

Views

Show that the Euler characteristic of a chain complex is equal to the Euler characteristic of its homology

Published on 10 Apr 2026 - 22:59

score 502 · Answer 14 · 2026-04-13 07:39:04

502

Views

Decomposition of universal enveloping algebra of the general linear Lie algebra

Published on 13 Apr 2026 - 7:39

score 1k · Answer 15 · 2026-04-16 04:38:40

1k

Views

Prove that $C_$ is acyclic if and only if the trivial homomorphism $f_: C_\to D_$ is a homotopic equivalence.

Published on 16 Apr 2026 - 4:38

List Question

Family of models for singular chain complex with local coefficients.

Integral homology groups of free product of cyclic groups

Checking that the perverse $t$-structure is a $t$-structure

Group homology Künneth Formula

Finitely-generated abelian groups in a long exact sequence

Prove that if there is a homotopy between $f_∗$ and $g_∗$, then the homomorphisms induced by $f_∗$ and $g_∗$ in homology coincide.

The functor $F_n:$Alg${}_R\to$ Sets defined by $X\mapsto \{x\in X: x^n=1\}$.

Some confusion on the definition of group homology

Understanding the algebra structure of $HH(\mathbb{F}_p)$

In which Category Inverse Limit does not exist?

Do I correctly understand about the facts on the bar resolution?

$f: C_\to D_$ is a homotopy equivalence between chain complexes. Prove that $f_: H_n(C_)\to H_n(D_*)$ is an isomorphism

Show that the Euler characteristic of a chain complex is equal to the Euler characteristic of its homology

Decomposition of universal enveloping algebra of the general linear Lie algebra

Prove that $C_$ is acyclic if and only if the trivial homomorphism $f_: C_\to D_$ is a homotopic equivalence.

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