Question

Stalk of tensor product sheaf is tensor product of stalks via adjunctions and abstract nonsense

score 562 · Answer 1 · 2026-03-24 22:14:07

562

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Stalk of tensor product sheaf is tensor product of stalks via adjunctions and abstract nonsense

Published on 24 Mar 2026 - 22:14

score 186 · Answer 2 · 2018-03-16 15:46:16

186

Views

What is the etymology/origin of the adjoint symbol $\dashv\,$?

Published on 16 Mar 2018 - 15:46

score 491 · Answer 3 · 2026-03-22 04:31:01

491

Views

Why are adjoint functors common?

Published on 22 Mar 2026 - 4:31

score 1.3k · Answer 4 · 2018-03-19 16:09:00

1.3k

Views

Why the forgetful functor from $\mathbf{Ab}$ to $\mathbf{Grp}$ does not admit a right adjoint?

Published on 19 Mar 2018 - 16:09

score 140 · Answer 5 · 2026-03-22 02:47:09

140

Views

What does "taking the adjoint" mean?

Published on 22 Mar 2026 - 2:47

score 394 · Answer 6 · 2018-03-20 20:15:39

394

Views

The right adjoint of a functor is unique up to a natural isomorphism

Published on 20 Mar 2018 - 20:15

score 57 · Answer 7 · 2026-03-22 17:26:21

57

Views

Functor in additive categories w/ right adjoint

Published on 22 Mar 2026 - 17:26

score 376 · Answer 8 · 2026-03-23 19:41:52

376

Views

Forgetful functor from category of directed graphs is monadic.

Published on 23 Mar 2026 - 19:41

score 64 · Answer 9 · 2026-03-21 23:49:35

64

Views

Properties of derived functors

Published on 21 Mar 2026 - 23:49

score 51 · Answer 10 · 2018-03-30 07:29:47

51

Views

How does adjoint operator show up in FOIL’ing an inner product?

Published on 30 Mar 2018 - 7:29

score 188 · Answer 11 · 2018-04-03 19:22:24

188

Views

counterexample to universal quantification being the right adjoint of substitution?

Published on 03 Apr 2018 - 19:22

score 487 · Answer 12 · 2026-03-20 12:22:01

487

Views

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

Published on 20 Mar 2026 - 12:22

score 1.5k · Answer 13 · 2018-04-07 09:17:15

1.5k

Views

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

Published on 07 Apr 2018 - 9:17

score 189 · Answer 14 · 2018-04-10 17:23:48

189

Views

The right adjoint of the restriction functor in extensions of associative algebras with units

Published on 10 Apr 2018 - 17:23

score 395 · Answer 15 · 2018-04-11 15:50:44

395

Views

The case for left and right adjoint functors commuting with colimits and limits respectively when the functors are presheaves.

Published on 11 Apr 2018 - 15:50

List Question

Stalk of tensor product sheaf is tensor product of stalks via adjunctions and abstract nonsense

What is the etymology/origin of the adjoint symbol $\dashv\,$?

Why are adjoint functors common?

Why the forgetful functor from $\mathbf{Ab}$ to $\mathbf{Grp}$ does not admit a right adjoint?

What does "taking the adjoint" mean?

The right adjoint of a functor is unique up to a natural isomorphism

Functor in additive categories w/ right adjoint

Forgetful functor from category of directed graphs is monadic.

Properties of derived functors

How does adjoint operator show up in FOIL’ing an inner product?

counterexample to universal quantification being the right adjoint of substitution?

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

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

The right adjoint of the restriction functor in extensions of associative algebras with units

The case for left and right adjoint functors commuting with colimits and limits respectively when the functors are presheaves.

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