List questions from category-theory

Published on 20 Mar 2026 - 8:08

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Do short exact sequences form an abelian category?

Published on 22 Mar 2026 - 19:33

176

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Natural relation of co- and contravariant internal hom functors

Published on 04 Apr 2018 - 15:41

88

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Adjunction of $A$-Module Morphisms

Published on 22 Mar 2026 - 2:14

487

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The comparison functor for the adjoint $F\dashv G$ with $G$ fully faithful is an equivalence

Published on 20 Mar 2026 - 12:22

90

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Weak notion of equivalence in a category

Published on 22 Mar 2026 - 6:32

232

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Tensor Product and Physics

Published on 06 Apr 2018 - 5:12

2.6k

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Extension group and Baer sum

Published on 22 Mar 2026 - 1:18

1.5k

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$F\dashv G$ and $G$ fully faithful implies counit is natural isomorphism

Published on 25 Mar 2026 - 0:07

83

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$[A^\mathrm{op},B^\mathrm{op}]$ is isomorphic with $[A,B]^\mathrm{op}$

Published on 07 Apr 2018 - 11:20

36

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Find generators for the ideal of relations between the generating arrows of $\mathbb{Z}[\Delta]$

Published on 07 Apr 2018 - 14:38

105

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Which are the products of $\mathsf{Set}$?

Published on 25 Mar 2026 - 4:40

158

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Equivalence relation on a group induced by natural isomorphism

Published on 07 Apr 2018 - 20:35

54

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Find example where: h ◦ f = f ◦ k, but: h ≠ k for a two element Set

Published on 08 Apr 2018 - 11:17

89

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Equivalence of Categories Lemma Explanation

Published on 08 Apr 2018 - 13:31

List Question

$n$-categories and associahedrons.

Do short exact sequences form an abelian category?

Natural relation of co- and contravariant internal hom functors

Adjunction of $A$-Module Morphisms

The comparison functor for the adjoint $F\dashv G$ with $G$ fully faithful is an equivalence

Weak notion of equivalence in a category

Tensor Product and Physics

Extension group and Baer sum

$F\dashv G$ and $G$ fully faithful implies counit is natural isomorphism

$[A^\mathrm{op},B^\mathrm{op}]$ is isomorphic with $[A,B]^\mathrm{op}$

Find generators for the ideal of relations between the generating arrows of $\mathbb{Z}[\Delta]$

Which are the products of $\mathsf{Set}$?

Equivalence relation on a group induced by natural isomorphism

Find example where: h ◦ f = f ◦ k, but: h ≠ k for a two element Set

Equivalence of Categories Lemma Explanation

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