Question

If $\mathcal{D}$ is reflective and $\mathcal{C}$ is complete, then $\mathcal{D}$ is complete.

score 121 · Answer 1 · 2019-05-02 19:45:26

121

Views

If $\mathcal{D}$ is reflective and $\mathcal{C}$ is complete, then $\mathcal{D}$ is complete.

Published on 02 May 2019 - 19:45

score 118 · Answer 2 · 2026-03-25 07:48:36

118

Views

Co-augmented functor and equality of natural transformations (and idempotent monads)

Published on 25 Mar 2026 - 7:48

score 35 · Answer 3 · 2019-05-09 16:12:24

35

Views

Is there an official terminology for functors that are adjoint up to a given functor?

Published on 09 May 2019 - 16:12

score 30 · Answer 4 · 2019-05-11 15:18:56

30

Views

How to construct a natural isomorphism of hom-sets from an adjunction of functors

Published on 11 May 2019 - 15:18

score 106 · Answer 5 · 2026-02-23 02:55:26

106

Views

Equivalent definition of Cofibration

Published on 23 Feb 2026 - 2:55

score 38 · Answer 6 · 2019-05-15 14:25:41

38

Views

The pullback functor between categories of etale sheaf on an affine space satisfies solution set criterion

Published on 15 May 2019 - 14:25

score 951 · Answer 7 · 2019-05-18 11:03:05

951

Views

Left adjoint for forgetful functor

Published on 18 May 2019 - 11:03

score 615 · Answer 8 · 2019-05-22 21:35:19

615

Views

How to use Yoneda's lemma in proving: $F$ fully-faithful iff unit is an isomorphism

Published on 22 May 2019 - 21:35

score 384 · Answer 9 · 2026-03-19 20:32:10

384

Views

Dual version of Adjoint Functor theorems

Published on 19 Mar 2026 - 20:32

score 234 · Answer 10 · 2019-05-30 16:28:35

234

Views

Existence of a left adjoint to the functor between cocomplete category and category of presheaves on small category.

Published on 30 May 2019 - 16:28

score 1k · Answer 11 · 2019-06-04 13:21:35

1k

Views

Abelianization is left adjoint to the forgetful functor

Published on 04 Jun 2019 - 13:21

score 211 · Answer 12 · 2019-06-07 20:04:05

211

Views

What is the co-unit in the Universal Enveloping Algebra/Commutator adjunction?

Published on 07 Jun 2019 - 20:04

score 254 · Answer 13 · 2019-06-10 14:11:07

254

Views

UMP of product functor

Published on 10 Jun 2019 - 14:11

score 83 · Answer 14 · 2019-06-10 21:16:02

83

Views

Functor $L:\mathcal{A}\to\mathcal{B}$ is left adjoint to $R$ functor, then $L$ preserves all colimit.

Published on 10 Jun 2019 - 21:16

score 269 · Answer 15 · 2019-06-19 13:21:08

269

Views

Are differentiation and integration adjoint functors in some sense?

Published on 19 Jun 2019 - 13:21

List Question

If $\mathcal{D}$ is reflective and $\mathcal{C}$ is complete, then $\mathcal{D}$ is complete.

Co-augmented functor and equality of natural transformations (and idempotent monads)

Is there an official terminology for functors that are adjoint up to a given functor?

How to construct a natural isomorphism of hom-sets from an adjunction of functors

Equivalent definition of Cofibration

The pullback functor between categories of etale sheaf on an affine space satisfies solution set criterion

Left adjoint for forgetful functor

How to use Yoneda's lemma in proving: $F$ fully-faithful iff unit is an isomorphism

Dual version of Adjoint Functor theorems

Existence of a left adjoint to the functor between cocomplete category and category of presheaves on small category.

Abelianization is left adjoint to the forgetful functor

What is the co-unit in the Universal Enveloping Algebra/Commutator adjunction?

UMP of product functor

Functor $L:\mathcal{A}\to\mathcal{B}$ is left adjoint to $R$ functor, then $L$ preserves all colimit.

Are differentiation and integration adjoint functors in some sense?

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