Question

Show that $\lim$ is a right adjoint to the constant functor

score 624 · Answer 1 · 2018-10-21 22:19:07

624

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Show that $\lim$ is a right adjoint to the constant functor

Published on 21 Oct 2018 - 22:19

score 154 · Answer 2 · 2018-10-22 04:20:58

154

Views

Find a left adjoint to the forgetful functor from the category of monoids to the category of sets

Published on 22 Oct 2018 - 4:20

score 38 · Answer 3 · 2018-10-23 00:26:02

38

Views

How to prove naturality in $c$ of $\text{Hom}_D(Fc, d) \simeq \text{Hom}_C(c, Ud)$ given adjunction $(F, U)$?

Published on 23 Oct 2018 - 0:26

score 60 · Answer 4 · 2018-10-30 05:56:14

60

Views

If $F$ and $G$ are adjoint functors, why are $\operatorname{Nat}(G,G)\simeq\operatorname{Nat}(F,F)$ as algebras?

Published on 30 Oct 2018 - 5:56

score 41 · Answer 5 · 2026-03-17 20:53:11

41

Views

How do you arrive at $\eta : \text{Hom}_{C'}(Y, Y') \to \text{Hom}_{C'}(LR(Y), Y')$ from $\eta : LR \to \text{id}_{C'}$?

Published on 17 Mar 2026 - 20:53

score 156 · Answer 6 · 2018-11-01 01:13:18

156

Views

Reading string diagram for counit-unit triangle identities?

Published on 01 Nov 2018 - 1:13

score 190 · Answer 7 · 2018-11-02 12:31:48

190

Views

Coends and adjunctions

Published on 02 Nov 2018 - 12:31

score 129 · Answer 8 · 2018-11-04 16:53:31

129

Views

Does sheafification of bundles have a right adjoint?

Published on 04 Nov 2018 - 16:53

score 1k · Answer 9 · 2026-03-23 12:50:05

1k

Views

The Powerset Monad

Published on 23 Mar 2026 - 12:50

score 854 · Answer 10 · 2018-11-20 18:51:04

854

Views

Left and Right adjoint of forgetful functor

Published on 20 Nov 2018 - 18:51

score 59 · Answer 11 · 2026-03-22 19:11:46

59

Views

Sandwich natural transformation between two functors

Published on 22 Mar 2026 - 19:11

score 349 · Answer 12 · 2018-12-05 17:09:39

349

Views

Commuting right adjoints implies commuting left adjoints.

Published on 05 Dec 2018 - 17:09

score 151 · Answer 13 · 2026-03-16 16:34:06

151

Views

Right (bi)adjoint of the inclusion of $\mathbf{Grpd}$ in $\mathbf{Cat}$

Published on 16 Mar 2026 - 16:34

score 117 · Answer 14 · 2018-12-28 18:17:31

117

Views

Notation in Category Theory, related to total categories, colimit$_{x\in C, z \in P(x)} x$

Published on 28 Dec 2018 - 18:17

score 111 · Answer 15 · 2026-03-25 03:07:21

111

Views

Proving adjoint equivalence from natural isomorphic unit

Published on 25 Mar 2026 - 3:07

List Question

Show that $\lim$ is a right adjoint to the constant functor

Find a left adjoint to the forgetful functor from the category of monoids to the category of sets

How to prove naturality in $c$ of $\text{Hom}_D(Fc, d) \simeq \text{Hom}_C(c, Ud)$ given adjunction $(F, U)$?

If $F$ and $G$ are adjoint functors, why are $\operatorname{Nat}(G,G)\simeq\operatorname{Nat}(F,F)$ as algebras?

How do you arrive at $\eta : \text{Hom}_{C'}(Y, Y') \to \text{Hom}_{C'}(LR(Y), Y')$ from $\eta : LR \to \text{id}_{C'}$?

Reading string diagram for counit-unit triangle identities?

Coends and adjunctions

Does sheafification of bundles have a right adjoint?

The Powerset Monad

Left and Right adjoint of forgetful functor

Sandwich natural transformation between two functors

Commuting right adjoints implies commuting left adjoints.

Right (bi)adjoint of the inclusion of $\mathbf{Grpd}$ in $\mathbf{Cat}$

Notation in Category Theory, related to total categories, colimit$_{x\in C, z \in P(x)} x$

Proving adjoint equivalence from natural isomorphic unit

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