Question

Fully faithful functors preserve and reflect isomorphisms

score 1.5k · Answer 1 · 2020-03-02 02:53:06

1.5k

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Fully faithful functors preserve and reflect isomorphisms

Published on 02 Mar 2020 - 2:53

score 111 · Answer 2 · 2026-03-25 12:49:59

111

Views

Details of the criterion for representability of a functor of S-schemes

Published on 25 Mar 2026 - 12:49

score 41 · Answer 3 · 2020-03-06 15:41:43

41

Views

Is this end-like property expressible in a nicer way?

Published on 06 Mar 2020 - 15:41

score 671 · Answer 4 · 2020-03-20 10:47:53

671

Views

Why is it called the restriction functor?

Published on 20 Mar 2020 - 10:47

score 477 · Answer 5 · 2020-03-20 22:14:30

477

Views

How to interpret this definition of adjoint functors?

Published on 20 Mar 2020 - 22:14

score 66 · Answer 6 · 2026-03-25 07:34:03

66

Views

Limits via universal arrows and functor categories

Published on 25 Mar 2026 - 7:34

score 161 · Answer 7 · 2026-03-25 17:30:47

161

Views

Lifting of a morphism in a hom-functor when hom-sets are empty

Published on 25 Mar 2026 - 17:30

score 123 · Answer 8 · 2020-03-30 10:22:16

123

Views

Is the product bifunctor uniquely determined by how it acts on objects?

Published on 30 Mar 2020 - 10:22

score 39 · Answer 9 · 2026-03-19 21:40:47

39

Views

Functor on a subcategory.

Published on 19 Mar 2026 - 21:40

score 79 · Answer 10 · 2020-04-04 08:42:02

79

Views

Definition functor on empty morphism sets: what are the possibilities?

Published on 04 Apr 2020 - 8:42

score 51 · Answer 11 · 2026-03-24 18:52:37

51

Views

The "Right" Concrete Category

Published on 24 Mar 2026 - 18:52

score 170 · Answer 12 · 2020-04-11 14:38:05

170

Views

Is there a functor $F$ preserving finite direct sums but not split exact sequences, for which $F\mathbb{Z}$ is free and finitely generated?

Published on 11 Apr 2020 - 14:38

score 64 · Answer 13 · 2020-04-12 15:53:58

64

Views

Does a functor which is additive by arbitrary isomorphism restrict and corestrict to an actually additive functor?

Published on 12 Apr 2020 - 15:53

score 73 · Answer 14 · 2020-04-13 15:02:00

73

Views

Is there a functor $F$ of left modules preserving $\oplus$ by arbitrary isomorphism, but its restriction to fin. gen. proj. modules isn't additive?

Published on 13 Apr 2020 - 15:02

score 218 · Answer 15 · 2020-04-18 20:24:24

218

Views

Is an equalizer really a special case of a limit?

Published on 18 Apr 2020 - 20:24

List Question

Fully faithful functors preserve and reflect isomorphisms

Details of the criterion for representability of a functor of S-schemes

Is this end-like property expressible in a nicer way?

Why is it called the restriction functor?

How to interpret this definition of adjoint functors?

Limits via universal arrows and functor categories

Lifting of a morphism in a hom-functor when hom-sets are empty

Is the product bifunctor uniquely determined by how it acts on objects?

Functor on a subcategory.

Definition functor on empty morphism sets: what are the possibilities?

The "Right" Concrete Category

Is there a functor $F$ preserving finite direct sums but not split exact sequences, for which $F\mathbb{Z}$ is free and finitely generated?

Does a functor which is additive by arbitrary isomorphism restrict and corestrict to an actually additive functor?

Is there a functor $F$ of left modules preserving $\oplus$ by arbitrary isomorphism, but its restriction to fin. gen. proj. modules isn't additive?

Is an equalizer really a special case of a limit?

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