List questions from adjoint-functors

Published on 15 Mar 2017 - 14:27

1.6k

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Understanding the Beck-Chevalley condition

Published on 23 Mar 2017 - 21:51

536

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Definition of Adjunction in Category Theory

Published on 24 Mar 2017 - 17:50

349

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Conceptual explanation of preservation and reflection of certain coequalizers in Beck's monadicity theorem

Published on 25 Mar 2026 - 17:33

58

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Condition for left adjoint to be exact in abelian categories

Published on 02 Feb 2023 - 17:18

193

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Existence of adjoints of functor $F: POSET \to Set$

Published on 20 Feb 2023 - 11:43

108

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$F\dashv G\dashv F\implies F,G$ are equivalences of categories

Published on 25 Mar 2026 - 13:56

115

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Left adjoint of forgetful functor $\mathbf{Field}\to\mathbf{Set}$

Published on 22 Mar 2023 - 8:35

76

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Free ring on a semi ring

Published on 28 Mar 2023 - 14:29

75

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Example of non representable limits-preserving functor

Published on 25 Mar 2026 - 11:12

43

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Adjunction between groups and complete Hopf algebras

Published on 25 Mar 2026 - 4:15

103

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How does the 2-yoneda lemma exactly work

Published on 14 Apr 2023 - 9:53

59

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Clarify on exactness and additivity of adjoint functors

Published on 15 Apr 2023 - 14:39

70

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Right exactness of tensor product in $k$-abelian categories from $\operatorname{Mod}(R^{op})\times \operatorname{Mod}(R,C)\to C$

Published on 07 May 2023 - 16:12

67

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Adjoint maps in the 2-category of topological spaces

Published on 13 May 2023 - 13:21

List Question

Adjoints to the Evaluation functors

Understanding the Beck-Chevalley condition

Definition of Adjunction in Category Theory

Conceptual explanation of preservation and reflection of certain coequalizers in Beck's monadicity theorem

Condition for left adjoint to be exact in abelian categories

Existence of adjoints of functor $F: POSET \to Set$

$F\dashv G\dashv F\implies F,G$ are equivalences of categories

Left adjoint of forgetful functor $\mathbf{Field}\to\mathbf{Set}$

Free ring on a semi ring

Example of non representable limits-preserving functor

Adjunction between groups and complete Hopf algebras

How does the 2-yoneda lemma exactly work

Clarify on exactness and additivity of adjoint functors

Right exactness of tensor product in $k$-abelian categories from $\operatorname{Mod}(R^{op})\times \operatorname{Mod}(R,C)\to C$

Adjoint maps in the 2-category of topological spaces

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