List questions from adjoint-functors

Published on 16 Sep 2019 - 23:46

4.1k

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Right adjoint is fully faithful iff the counit is an isomorphism (without Yoneda)

Published on 17 Sep 2019 - 22:55

127

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Functor $G$ has right adjoint iff $Y \mapsto Hom(X, G(Y))$ is corepresentable

Published on 25 Mar 2026 - 9:26

508

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Does the Coend have a right adjoint?

Published on 12 Mar 2014 - 19:03

1.3k

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Proof that sheafification induces isomorphism on stalks using adjoints

Published on 19 Mar 2014 - 22:58

350

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Condition for a reflective subcategory of a cartesian closed category to be an exponential ideal

Published on 26 Mar 2014 - 21:55

872

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How to recognize adjointness?

Published on 06 Apr 2014 - 20:41

192

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Duality 2-functor on adjunctions

Published on 23 Mar 2026 - 0:35

946

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Right adjoint to forgetful functor $\mathbf{Cat} \to \mathbf{Graph}$

Published on 20 May 2014 - 6:22

355

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Closure operators and complete lattices.

Published on 31 May 2014 - 19:54

300

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Uniqueness of the Comparison Functor

Published on 25 Mar 2026 - 11:01

242

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Proving that the transformation obtained from an adjoint pair is natural

Published on 16 Jun 2014 - 9:00

3.5k

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Adjoint Functor Theorem

Published on 23 Jun 2014 - 1:00

624

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Proof that left adjoints preserve direct limits

Published on 25 Jun 2014 - 10:53

157

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How are the cardinalities of the object images of adjoint functors related?

Published on 25 Jun 2014 - 14:11

List Question

Adjunctions restrict to an equivalence

Right adjoint is fully faithful iff the counit is an isomorphism (without Yoneda)

Functor $G$ has right adjoint iff $Y \mapsto Hom(X, G(Y))$ is corepresentable

Does the Coend have a right adjoint?

Proof that sheafification induces isomorphism on stalks using adjoints

Condition for a reflective subcategory of a cartesian closed category to be an exponential ideal

How to recognize adjointness?

Duality 2-functor on adjunctions

Right adjoint to forgetful functor $\mathbf{Cat} \to \mathbf{Graph}$

Closure operators and complete lattices.

Uniqueness of the Comparison Functor

Proving that the transformation obtained from an adjoint pair is natural

Adjoint Functor Theorem

Proof that left adjoints preserve direct limits

How are the cardinalities of the object images of adjoint functors related?

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