List questions from category-theory

Published on 25 Mar 2026 - 6:22

478

Views

What is a faithful representation?

Published on 25 Mar 2026 - 17:37

233

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How are the intersections and quotients of algebraic groups defined?

Published on 25 Mar 2026 - 17:37

60

Views

Repeating elements in a category of posets?

Published on 07 Apr 2019 - 17:15

1.1k

Views

Generalization of even / odd functions

Published on 23 Feb 2026 - 4:44

986

Views

Is every set a filtered colimit of finite sets?

Published on 25 Mar 2026 - 11:26

357

Views

A functor that “transforms terminal objects in terminal objects”?

Published on 08 Apr 2019 - 22:15

47

Views

Is the composition in locally small categories always the set-theoretic composition of functions?

Published on 09 Apr 2019 - 10:04

111

Views

Definition of a category as a monoid

Published on 09 Apr 2019 - 14:49

1.6k

Views

Counterexample: functor does not preserve monomorphisms

Published on 26 Mar 2026 - 4:16

81

Views

Why is $E \otimes_B B^n$ isomorphic to $E^n$ (for finite dimensional commutative $B$-algebras)?

Published on 09 Apr 2019 - 15:41

500

Views

Monomorphisms preserved in a pullback

Published on 25 Mar 2026 - 9:15

42

Views

Last step in proof to $k$-linear module category is equivalent to module category

Published on 10 Apr 2019 - 11:20

43

Views

How to see that $S(\sigma) = \text{Hom}_{\Delta}(\sigma, [0,1])$ maps to the category $\tilde{\Delta}^{\text{op}}$.

Published on 25 Mar 2026 - 19:43

1.1k

Views

Completeness of over category (slice)

Published on 04 Apr 2026 - 1:17

List Question

Not able to make sense of gluing via the functor of points in EGA

What is a faithful representation?

How are the intersections and quotients of algebraic groups defined?

Repeating elements in a category of posets?

Generalization of even / odd functions

Is every set a filtered colimit of finite sets?

A functor that “transforms terminal objects in terminal objects”?

Is the composition in locally small categories always the set-theoretic composition of functions?

Definition of a category as a monoid

Counterexample: functor does not preserve monomorphisms

Why is $E \otimes_B B^n$ isomorphic to $E^n$ (for finite dimensional commutative $B$-algebras)?

Monomorphisms preserved in a pullback

Last step in proof to $k$-linear module category is equivalent to module category

How to see that $S(\sigma) = \text{Hom}_{\Delta}(\sigma, [0,1])$ maps to the category $\tilde{\Delta}^{\text{op}}$.

Completeness of over category (slice)

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