Question

Isomorphic vector bundles have same characteristic classes

score 118 · Answer 1 · 2022-10-11 21:38:17

118

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Isomorphic vector bundles have same characteristic classes

Published on 11 Oct 2022 - 21:38

score 82 · Answer 2 · 2026-03-22 14:22:06

82

Views

Is it true that functors which are surjective on objects are obviously essentially surjective?

Published on 22 Mar 2026 - 14:22

score 27 · Answer 3 · 2022-10-25 23:34:33

27

Views

Theorem about horizontal composition

Published on 25 Oct 2022 - 23:34

score 146 · Answer 4 · 2022-10-27 23:27:06

146

Views

Ideal-vanishing locus correspondence in affine schemes as natural transformations

Published on 27 Oct 2022 - 23:27

score 84 · Answer 5 · 2026-03-16 06:50:42

84

Views

Is there a 'coherence' theorem for simplicial sets? On uniquely lifting natural transformations of $n$-truncations to full natural transformations

Published on 16 Mar 2026 - 6:50

score 71 · Answer 6 · 2026-03-24 22:37:33

71

Views

Natural Isomorphism $(Y^Z)^X\cong Y^{Z\times X}$ in a cartesian closed category

Published on 24 Mar 2026 - 22:37

score 105 · Answer 7 · 2026-03-16 10:39:31

105

Views

Why the triangle diagram commutes because of naturality

Published on 16 Mar 2026 - 10:39

score 144 · Answer 8 · 2026-03-16 04:01:26

144

Views

All natural transformations from $\operatorname{id}_{\textsf{Grp}}$ to itself

Published on 16 Mar 2026 - 4:01

score 128 · Answer 9 · 2026-03-25 15:47:06

128

Views

Describing epimorphisms in Set-valued functor categories without using pointwise computation of colimits

Published on 25 Mar 2026 - 15:47

score 105 · Answer 10 · 2026-03-15 19:39:48

105

Views

What is variable substitution best thought of categorically? A natural transformation?

Published on 15 Mar 2026 - 19:39

score 68 · Answer 11 · 2026-03-15 22:56:53

68

Views

In the axioms of a coalgebra, does the naturalness of the isomorphisms play any role?

Published on 15 Mar 2026 - 22:56

score 80 · Answer 12 · 2026-03-16 10:59:22

80

Views

How to check a morphism is actually a morphism between functors needed to construct an adjoint characteristic

Published on 16 Mar 2026 - 10:59

score 162 · Answer 13 · 2026-03-16 00:01:07

162

Views

Why are natural isomorphisms injective on objects?

Published on 16 Mar 2026 - 0:01

score 68 · Answer 14 · 2026-03-15 23:08:02

68

Views

Alternative functor construction from universal morphisms

Published on 15 Mar 2026 - 23:08

score 101 · Answer 15 · 2026-03-15 23:15:37

101

Views

Composition of morphism part of evaluation (bi)functor.

Published on 15 Mar 2026 - 23:15

List Question

Isomorphic vector bundles have same characteristic classes

Is it true that functors which are surjective on objects are obviously essentially surjective?

Theorem about horizontal composition

Ideal-vanishing locus correspondence in affine schemes as natural transformations

Is there a 'coherence' theorem for simplicial sets? On uniquely lifting natural transformations of $n$-truncations to full natural transformations

Natural Isomorphism $(Y^Z)^X\cong Y^{Z\times X}$ in a cartesian closed category

Why the triangle diagram commutes because of naturality

All natural transformations from $\operatorname{id}_{\textsf{Grp}}$ to itself

Describing epimorphisms in Set-valued functor categories without using pointwise computation of colimits

What is variable substitution best thought of categorically? A natural transformation?

In the axioms of a coalgebra, does the naturalness of the isomorphisms play any role?

How to check a morphism is actually a morphism between functors needed to construct an adjoint characteristic

Why are natural isomorphisms injective on objects?

Alternative functor construction from universal morphisms

Composition of morphism part of evaluation (bi)functor.

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