Question

Is $\mathbf{Cat}/\mathcal{C}\simeq\mathbf{Cat}^{\mathcal C^\mathrm{op}}$ when $\mathcal C$ is a $1$-category?

score 135 · Answer 1 · 2026-03-31 08:04:07

135

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Is $\mathbf{Cat}/\mathcal{C}\simeq\mathbf{Cat}^{\mathcal C^\mathrm{op}}$ when $\mathcal C$ is a $1$-category?

Published on 31 Mar 2026 - 8:04

score 78 · Answer 2 · 2026-03-30 20:15:44

78

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Defining the cycle functor $Z_* : \mathbf{Ch_R} → \mathbf{GrMod_R}$

Published on 30 Mar 2026 - 20:15

score 234 · Answer 3 · 2019-02-08 02:36:32

234

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Question on Proof of ismorphism between product and coproduct under Abelian group

Published on 08 Feb 2019 - 2:36

score 214 · Answer 4 · 2026-03-25 04:40:35

214

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Can natural transformations be viewed as functors between images of functors?

Published on 25 Mar 2026 - 4:40

score 56 · Answer 5 · 2026-03-30 13:53:47

56

Views

a weakening of full subcategories

Published on 30 Mar 2026 - 13:53

score 1.3k · Answer 6 · 2026-02-23 01:17:57

1.3k

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Injectivity, surjectivity and pullback diagrams

Published on 23 Feb 2026 - 1:17

score 180 · Answer 7 · 2019-02-08 14:36:11

180

Views

Homotopy groups of connected components

Published on 08 Feb 2019 - 14:36

score 112 · Answer 8 · 2026-03-30 16:52:38

112

Views

Every $\lambda-$pure morphism in a locally $\lambda-$presentable category is a regular monomorphism

Published on 30 Mar 2026 - 16:52

score 203 · Answer 9 · 2026-03-25 06:32:05

203

Views

Regarding the pointwise left adjoint of the $\mathrm{Hom}_*$ functor for cartesian closed categories

Published on 25 Mar 2026 - 6:32

score 73 · Answer 10 · 2026-03-25 22:08:54

73

Views

Notation: why are categories enriched over $\mathcal V$?

Published on 25 Mar 2026 - 22:08

score 245 · Answer 11 · 2019-02-09 13:23:09

245

Views

Can we rederive the axioms of topology from the structure of the category $\textbf{Top}$?

Published on 09 Feb 2019 - 13:23

score 49 · Answer 12 · 2019-02-09 16:35:27

49

Views

What is meant by $\lim_I \lim_J F$ where $F$ is a functor?

Published on 09 Feb 2019 - 16:35

score 73 · Answer 13 · 2026-04-01 10:23:33

73

Views

When do $M_n, GL_n, SL_n$ commute with direct products?

Published on 01 Apr 2026 - 10:23

score 132 · Answer 14 · 2019-02-09 21:36:57

132

Views

not understand functor of points definition

Published on 09 Feb 2019 - 21:36

score 572 · Answer 15 · 2019-02-10 11:07:29

572

Views

Why Quillen equivalence is used to define "equivalent" model categories?

Published on 10 Feb 2019 - 11:07

List Question

Is $\mathbf{Cat}/\mathcal{C}\simeq\mathbf{Cat}^{\mathcal C^\mathrm{op}}$ when $\mathcal C$ is a $1$-category?

Defining the cycle functor $Z_* : \mathbf{Ch_R} → \mathbf{GrMod_R}$

Question on Proof of ismorphism between product and coproduct under Abelian group

Can natural transformations be viewed as functors between images of functors?

a weakening of full subcategories

Injectivity, surjectivity and pullback diagrams

Homotopy groups of connected components

Every $\lambda-$pure morphism in a locally $\lambda-$presentable category is a regular monomorphism

Regarding the pointwise left adjoint of the $\mathrm{Hom}_*$ functor for cartesian closed categories

Notation: why are categories enriched over $\mathcal V$?

Can we rederive the axioms of topology from the structure of the category $\textbf{Top}$?

What is meant by $\lim_I \lim_J F$ where $F$ is a functor?

When do $M_n, GL_n, SL_n$ commute with direct products?

not understand functor of points definition

Why Quillen equivalence is used to define "equivalent" model categories?

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