List questions from category-theory

Published on 31 Mar 2026 - 22:43

164

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Filtered colimit and directed colimit, Example

Published on 04 Apr 2026 - 4:20

122

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Showing there is a natural map between coim$(f)$ and im$(f)$ in an abelian category

Published on 01 Apr 2026 - 20:54

122

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Is every concretizable category equivalent to a subcategory of the category of sets?

Published on 08 Aug 2019 - 17:09

321

Views

Coequalizer in the category of monoids

Published on 25 Mar 2026 - 10:55

97

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Natural isomorphism between the squaring functor and the identity functor on infinite sets

Published on 25 Mar 2026 - 7:47

493

Views

Tensor product of modules and algebras

Published on 03 Apr 2026 - 10:38

417

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Exercise 1.1.2, Weibel

Published on 25 Mar 2026 - 18:04

148

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Groups in a category

Published on 10 Aug 2019 - 12:12

115

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If a category is locally small, any category equivalent to it is again locally small.

Published on 10 Aug 2019 - 13:44

64

Views

Exact completion (qua regular category) of $\mathbf{Top}^{op}$

Published on 11 Aug 2019 - 0:18

92

Views

What does it mean to say a functor is represented by $(X,a)$?

Published on 01 Apr 2026 - 20:48

116

Views

Is $\mathscr F(\mathrm{Hom}_{R\text{-mod}}(M,N))=\mathrm{Hom}_{S\text{-mod}}(\mathscr F(M),\mathscr F(N))$?

Published on 03 Apr 2026 - 8:25

116

Views

Choice of closed monoidal structure

Published on 25 Mar 2026 - 11:10

75

Views

Universal delta functor vanishing between some indices?

Published on 01 Apr 2026 - 22:32

List Question

Characterize the determinant function on a commutative ring with identity.

Filtered colimit and directed colimit, Example

Showing there is a natural map between coim$(f)$ and im$(f)$ in an abelian category

Is every concretizable category equivalent to a subcategory of the category of sets?

Coequalizer in the category of monoids

Natural isomorphism between the squaring functor and the identity functor on infinite sets

Tensor product of modules and algebras

Exercise 1.1.2, Weibel

Groups in a category

If a category is locally small, any category equivalent to it is again locally small.

Exact completion (qua regular category) of $\mathbf{Top}^{op}$

What does it mean to say a functor is represented by $(X,a)$?

Is $\mathscr F(\mathrm{Hom}_{R\text{-mod}}(M,N))=\mathrm{Hom}_{S\text{-mod}}(\mathscr F(M),\mathscr F(N))$?

Choice of closed monoidal structure

Universal delta functor vanishing between some indices?

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