Question

Adjoint(s) to the forgetful functor $U:A/\mathbf{C}\to \mathbf{C}$.

score 148 · Answer 1 · 2020-01-17 14:44:38

148

Views

Adjoint(s) to the forgetful functor $U:A/\mathbf{C}\to \mathbf{C}$.

Published on 17 Jan 2020 - 14:44

score 67 · Answer 2 · 2020-01-17 20:10:05

67

Views

If we only know that for each $A, (A\Rightarrow G)$ has an initial object, can we conclude that $G$ has a left adjoint?

Published on 17 Jan 2020 - 20:10

score 128 · Answer 3 · 2020-02-09 18:21:12

128

Views

Exponents in $\mathbf{Sets}^{G^{{\rm op}}}$ for an arbitrary group $G$.

Published on 09 Feb 2020 - 18:21

score 182 · Answer 4 · 2020-02-11 18:42:53

182

Views

Exercise I.6(b) of "Sheaves in Geometry and Logic [. . .]".

Published on 11 Feb 2020 - 18:42

score 59 · Answer 5 · 2020-02-13 17:44:11

59

Views

Conclude that $\mathbf{B}G$ is a CCC using previous questions in "Sheaves in Geometry and Logic [. . .]".

Published on 13 Feb 2020 - 17:44

score 749 · Answer 6 · 2026-02-23 04:43:15

749

Views

Adjoints are Kan extensions

Published on 23 Feb 2026 - 4:43

score 95 · Answer 7 · 2020-02-28 02:43:02

95

Views

What is the name of this identity relating the monoidal products of finite sets and finite-dimensional vector spaces?

Published on 28 Feb 2020 - 2:43

score 454 · Answer 8 · 2026-03-25 14:11:15

454

Views

Adjunction between a comonad and a monad

Published on 25 Mar 2026 - 14:11

score 289 · Answer 9 · 2026-03-25 12:37:37

289

Views

How to dualize a theorem by Eilenberg and Moore about monad, comonad and adjunction?

Published on 25 Mar 2026 - 12:37

score 75 · Answer 10 · 2020-03-01 05:55:27

75

Views

On the naturality conditions in the definition of adjuncton

Published on 01 Mar 2020 - 5:55

score 125 · Answer 11 · 2020-03-02 14:44:47

125

Views

Adjoint functors and free objects

Published on 02 Mar 2020 - 14:44

score 86 · Answer 12 · 2020-03-03 02:25:47

86

Views

General Algebra (Universal Enveloping Algebras Generalizations)

Published on 03 Mar 2020 - 2:25

score 107 · Answer 13 · 2020-03-03 15:30:38

107

Views

Construction of left adjoint to free $Set \to Cat$?

Published on 03 Mar 2020 - 15:30

score 88 · Answer 14 · 2020-03-04 18:13:27

88

Views

Are there adjoint localizations that aren't reflexive localizations?

Published on 04 Mar 2020 - 18:13

score 467 · Answer 15 · 2026-03-25 04:38:12

467

Views

Does the forgetful functor $U: \mathbf{Gph} \to \mathbf{Set}$ have a left adjoint?

Published on 25 Mar 2026 - 4:38

List Question

Adjoint(s) to the forgetful functor $U:A/\mathbf{C}\to \mathbf{C}$.

If we only know that for each $A, (A\Rightarrow G)$ has an initial object, can we conclude that $G$ has a left adjoint?

Exponents in $\mathbf{Sets}^{G^{{\rm op}}}$ for an arbitrary group $G$.

Exercise I.6(b) of "Sheaves in Geometry and Logic [. . .]".

Conclude that $\mathbf{B}G$ is a CCC using previous questions in "Sheaves in Geometry and Logic [. . .]".

Adjoints are Kan extensions

What is the name of this identity relating the monoidal products of finite sets and finite-dimensional vector spaces?

Adjunction between a comonad and a monad

How to dualize a theorem by Eilenberg and Moore about monad, comonad and adjunction?

On the naturality conditions in the definition of adjuncton

Adjoint functors and free objects

General Algebra (Universal Enveloping Algebras Generalizations)

Construction of left adjoint to free $Set \to Cat$?

Are there adjoint localizations that aren't reflexive localizations?

Does the forgetful functor $U: \mathbf{Gph} \to \mathbf{Set}$ have a left adjoint?

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