Question

Fibered category with cleavage is a pseudofunctor

score 66 · Answer 1 · 2026-04-26 14:55:55

66

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Fibered category with cleavage is a pseudofunctor

Published on 26 Apr 2026 - 14:55

score 61 · Answer 2 · 2026-04-13 07:17:07

61

Views

What exactly is the natural transformation that arises in a coproduct diagram?

Published on 13 Apr 2026 - 7:17

score 135 · Answer 3 · 2026-04-15 00:13:56

135

Views

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

Published on 15 Apr 2026 - 0:13

score 145 · Answer 4 · 2026-04-16 14:51:12

145

Views

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

Published on 16 Apr 2026 - 14:51

score 99 · Answer 5 · 2026-04-23 01:11:40

99

Views

Left and right adjoints of functor category inclusion

Published on 23 Apr 2026 - 1:11

score 44 · Answer 6 · 2026-03-25 17:26:04

44

Views

Among morphisms of morphisms, what makes commutative squares special?

Published on 25 Mar 2026 - 17:26

score 85 · Answer 7 · 2026-03-25 17:22:42

85

Views

Is "up to natural isomorphism" crucial?

Published on 25 Mar 2026 - 17:22

score 96 · Answer 8 · 2026-04-25 01:47:21

96

Views

Can the natural logarithm be meaningfully "natural" in the category theory sense?

Published on 25 Apr 2026 - 1:47

score 52 · Answer 9 · 2026-04-26 03:20:57

52

Views

Functors from category of finite sets and bijections to the category of sets

Published on 26 Apr 2026 - 3:20

score 30 · Answer 10 · 2026-03-25 17:21:40

30

Views

Natural transformations of Hom-sets “transport” natural transformations from one pair of functors to another? (Reference)

Published on 25 Mar 2026 - 17:21

score 360 · Answer 11 · 2026-03-25 17:20:55

360

Views

Natural isomorphisms: what is the status now of "the Eilenberg/Mac Lane Thesis"?

Published on 25 Mar 2026 - 17:20

score 6.2k · Answer 12 · 2026-03-25 17:24:43

6.2k

Views

Uniqueness of adjoint functors up to isomorphism

Published on 25 Mar 2026 - 17:24

score 48 · Answer 13 · 2026-03-25 17:19:53

48

Views

Showing the Naturality of Two (Isomorphic) Left Adjoints

Published on 25 Mar 2026 - 17:19

score 72 · Answer 14 · 2026-04-17 13:34:13

72

Views

Naturality of $\varphi : \textbf{Vct}_K(V(x), w) \xrightarrow{\sim} \textbf{Set}(x, U(w))$ in the variable $x$ (Cats for the Working Mathematician).

Published on 17 Apr 2026 - 13:34

score 487 · Answer 15 · 2026-04-18 00:05:54

487

Views

closed, connected, orientable manifold with nonzero induced homology maps $S^n \rightarrow M$. Compute $H_k(M;\mathbb{Q})$

Published on 18 Apr 2026 - 0:05

List Question

Fibered category with cleavage is a pseudofunctor

What exactly is the natural transformation that arises in a coproduct diagram?

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

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

Left and right adjoints of functor category inclusion

Among morphisms of morphisms, what makes commutative squares special?

Is "up to natural isomorphism" crucial?

Can the natural logarithm be meaningfully "natural" in the category theory sense?

Functors from category of finite sets and bijections to the category of sets

Natural transformations of Hom-sets “transport” natural transformations from one pair of functors to another? (Reference)

Natural isomorphisms: what is the status now of "the Eilenberg/Mac Lane Thesis"?

Uniqueness of adjoint functors up to isomorphism

Showing the Naturality of Two (Isomorphic) Left Adjoints

Naturality of $\varphi : \textbf{Vct}_K(V(x), w) \xrightarrow{\sim} \textbf{Set}(x, U(w))$ in the variable $x$ (Cats for the Working Mathematician).

closed, connected, orientable manifold with nonzero induced homology maps $S^n \rightarrow M$. Compute $H_k(M;\mathbb{Q})$

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