Question

Details on the explanation of why there is no functor $\mathsf{Group}\to\mathsf{Ab}$ sending groups to their centers?

score 166 · Answer 1 · 2026-04-11 06:01:27

166

Views

Details on the explanation of why there is no functor $\mathsf{Group}\to\mathsf{Ab}$ sending groups to their centers?

Published on 11 Apr 2026 - 6:01

score 64 · Answer 2 · 2026-04-24 14:36:02

64

Views

When is the unit map $\eta$ for a free object an epimorphism?

Published on 24 Apr 2026 - 14:36

score 80 · Answer 3 · 2026-05-10 19:41:59

80

Views

Generalisation of "discrete" and "indiscrete" left/right adjoint to the forgetful functor for general "ordered" Categories with monotone. morphisms.

Published on 10 May 2026 - 19:41

score 45 · Answer 4 · 2026-04-24 14:39:36

45

Views

When to use definition or theorem concerning showing existence of left/right adjoint.

Published on 24 Apr 2026 - 14:39

score 44 · Answer 5 · 2026-04-17 14:26:40

44

Views

Commutative diagrams in Opposite Category

Published on 17 Apr 2026 - 14:26

score 99 · Answer 6 · 2026-04-29 13:23:06

99

Views

$M$ being the direct sum of submodules $(M_i)_{i \in I}$ is equivalent to a certain map (between $\operatorname{Hom}$-sets) being an isomorphism.

Published on 29 Apr 2026 - 13:23

score 95 · Answer 7 · 2026-04-13 00:57:21

95

Views

How Free and Initial algebras relate?

Published on 13 Apr 2026 - 0:57

score 88 · Answer 8 · 2026-04-11 18:52:38

88

Views

What are the names for the following “anti-ideal”-like properties?

Published on 11 Apr 2026 - 18:52

score 90 · Answer 9 · 2026-04-13 21:54:48

90

Views

How are not all objects in category sets?

Published on 13 Apr 2026 - 21:54

score 90 · Answer 10 · 2026-05-14 13:56:59

90

Views

Two definitions of categorical limits

Published on 14 May 2026 - 13:56

score 268 · Answer 11 · 2026-03-26 16:03:55

268

Views

Left-adjoint to Yoneda embedding

Published on 26 Mar 2026 - 16:03

score 80 · Answer 12 · 2026-04-10 21:16:20

80

Views

What does it mean to induce a functor?

Published on 10 Apr 2026 - 21:16

score 671 · Answer 13 · 2026-04-14 03:24:01

671

Views

why universe is a set?

Published on 14 Apr 2026 - 3:24

score 107 · Answer 14 · 2026-04-14 05:57:58

107

Views

Different categories and isomorphisms of categories

Published on 14 Apr 2026 - 5:57

score 55 · Answer 15 · 2026-05-13 19:45:32

55

Views

Notation related question about a two variable functor fixing one of its variables.

Published on 13 May 2026 - 19:45

List Question

Details on the explanation of why there is no functor $\mathsf{Group}\to\mathsf{Ab}$ sending groups to their centers?

When is the unit map $\eta$ for a free object an epimorphism?

Generalisation of "discrete" and "indiscrete" left/right adjoint to the forgetful functor for general "ordered" Categories with monotone. morphisms.

When to use definition or theorem concerning showing existence of left/right adjoint.

Commutative diagrams in Opposite Category

$M$ being the direct sum of submodules $(M_i)_{i \in I}$ is equivalent to a certain map (between $\operatorname{Hom}$-sets) being an isomorphism.

How Free and Initial algebras relate?

What are the names for the following “anti-ideal”-like properties?

How are not all objects in category sets?

Two definitions of categorical limits

Left-adjoint to Yoneda embedding

What does it mean to induce a functor?

why universe is a set?

Different categories and isomorphisms of categories

Notation related question about a two variable functor fixing one of its variables.

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