Question

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

score 629 · Answer 1 · 2026-04-17 06:27:13

629

Views

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

Published on 17 Apr 2026 - 6:27

score 157 · Answer 2 · 2026-04-17 00:38:09

157

Views

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

Published on 17 Apr 2026 - 0:38

score 41 · Answer 3 · 2026-04-16 01:58:36

41

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 16 Apr 2026 - 1:58

score 63 · Answer 4 · 2026-04-15 16:16:37

63

Views

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

Published on 15 Apr 2026 - 16:16

score 48 · Answer 5 · 2026-05-10 12:35:29

48

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 10 May 2026 - 12:35

score 159 · Answer 6 · 2026-04-09 23:39:26

159

Views

Reading string diagram for counit-unit triangle identities?

Published on 09 Apr 2026 - 23:39

score 194 · Answer 7 · 2026-04-13 05:22:10

194

Views

Coends and adjunctions

Published on 13 Apr 2026 - 5:22

score 132 · Answer 8 · 2026-04-09 04:02:26

132

Views

Does sheafification of bundles have a right adjoint?

Published on 09 Apr 2026 - 4:02

score 1k · Answer 9 · 2026-05-10 14:47:00

1k

Views

The Powerset Monad

Published on 10 May 2026 - 14:47

score 857 · Answer 10 · 2026-04-14 12:25:56

857

Views

Left and Right adjoint of forgetful functor

Published on 14 Apr 2026 - 12:25

score 66 · Answer 11 · 2026-04-29 10:44:57

66

Views

Sandwich natural transformation between two functors

Published on 29 Apr 2026 - 10:44

score 352 · Answer 12 · 2026-04-15 13:40:27

352

Views

Commuting right adjoints implies commuting left adjoints.

Published on 15 Apr 2026 - 13:40

score 157 · Answer 13 · 2026-05-07 03:34:07

157

Views

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

Published on 07 May 2026 - 3:34

score 120 · Answer 14 · 2026-04-15 19:32:09

120

Views

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

Published on 15 Apr 2026 - 19:32

score 118 · Answer 15 · 2026-05-10 14:52:41

118

Views

Proving adjoint equivalence from natural isomorphic unit

Published on 10 May 2026 - 14:52

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

Trending Questions

Popular # Hahtags

Popular Questions