Question

If $\mathcal C$ is a small category and $\mathcal D$ is a category then the class of functors from $\mathcal C$ to $\mathcal D$ is a set

score 80 · Answer 1 · 2023-12-10 01:45:10

80

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If $\mathcal C$ is a small category and $\mathcal D$ is a category then the class of functors from $\mathcal C$ to $\mathcal D$ is a set

Published on 10 Dec 2023 - 1:45

score 42 · Answer 2 · 2023-12-15 21:25:57

42

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$\mathcal{F}$ left-exact functor of abelian categories, then $\mathcal{F}(\ker (f))\cong\ker (\mathcal{F}(f))$

Published on 15 Dec 2023 - 21:25

score 84 · Answer 3 · 2026-03-26 06:18:31

84

Views

Induced inverse limit sequence

Published on 26 Mar 2026 - 6:18

score 83 · Answer 4 · 2023-12-26 17:06:57

83

Views

Does the category of Boolean algebras imbed in $\operatorname{Set}$

Published on 26 Dec 2023 - 17:06

score 75 · Answer 5 · 2026-02-23 03:01:34

75

Views

Can the functor to empty sets be defined?

Published on 23 Feb 2026 - 3:01

score 69 · Answer 6 · 2024-01-05 13:51:45

69

Views

Question about automorphisms of simplicial category $\mathbf{\Delta}$

Published on 05 Jan 2024 - 13:51

score 39 · Answer 7 · 2024-01-07 16:03:40

39

Views

Composition of two right exact functors is also right exact

Published on 07 Jan 2024 - 16:03

score 133 · Answer 8 · 2026-03-25 17:21:00

133

Views

What are the natural transformations induced by a category with finite products?

Published on 25 Mar 2026 - 17:21

score 143 · Answer 9 · 2026-03-25 17:20:52

143

Views

Why are the isomorphisms induced by the category with finite products natural?

Published on 25 Mar 2026 - 17:20

score 201 · Answer 10 · 2026-03-25 22:06:12

201

Views

Module structure on $R$-algebra $S$ by restriction of scalars and splitting of the algebra map

Published on 25 Mar 2026 - 22:06

score 138 · Answer 11 · 2024-01-18 18:41:05

138

Views

ETCS direct image functor

Published on 18 Jan 2024 - 18:41

score 86 · Answer 12 · 2024-01-24 10:13:09

86

Views

GL$_n$ schemes representation

Published on 24 Jan 2024 - 10:13

score 57 · Answer 13 · 2026-03-25 07:43:59

57

Views

Does an exact sequence of holonomic D-modules imply an exact sequence in the solution space?

Published on 25 Mar 2026 - 7:43

score 82 · Answer 14 · 2026-03-26 19:03:03

82

Views

Prove that $F$ is left adjoint to $G$ iff $G$ is right adjoint to $F$.

Published on 26 Mar 2026 - 19:03

score 48 · Answer 15 · 2026-03-25 17:42:00

48

Views

When We say a diagram in a category is a functor, then how do we treat the category? Do we take it as 2-catgegory?

Published on 25 Mar 2026 - 17:42

List Question

If $\mathcal C$ is a small category and $\mathcal D$ is a category then the class of functors from $\mathcal C$ to $\mathcal D$ is a set

$\mathcal{F}$ left-exact functor of abelian categories, then $\mathcal{F}(\ker (f))\cong\ker (\mathcal{F}(f))$

Induced inverse limit sequence

Does the category of Boolean algebras imbed in $\operatorname{Set}$

Can the functor to empty sets be defined?

Question about automorphisms of simplicial category $\mathbf{\Delta}$

Composition of two right exact functors is also right exact

What are the natural transformations induced by a category with finite products?

Why are the isomorphisms induced by the category with finite products natural?

Module structure on $R$-algebra $S$ by restriction of scalars and splitting of the algebra map

ETCS direct image functor

GL$_n$ schemes representation

Does an exact sequence of holonomic D-modules imply an exact sequence in the solution space?

Prove that $F$ is left adjoint to $G$ iff $G$ is right adjoint to $F$.

When We say a diagram in a category is a functor, then how do we treat the category? Do we take it as 2-catgegory?

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