Question

What exactly are the `size issues' preventing formation of presheaves being a left adjoint to some forgetful functor?

score 505 · Answer 1 · 2026-03-25 08:10:50

505

Views

What exactly are the `size issues' preventing formation of presheaves being a left adjoint to some forgetful functor?

Published on 25 Mar 2026 - 8:10

score 122 · Answer 2 · 2026-03-25 09:48:48

122

Views

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

Published on 25 Mar 2026 - 9:48

score 129 · Answer 3 · 2019-05-03 12:47:31

129

Views

What is the name for this generalization of a category?

Published on 03 May 2019 - 12:47

score 86 · Answer 4 · 2019-05-03 20:43:34

86

Views

Does every module define a category?

Published on 03 May 2019 - 20:43

score 128 · Answer 5 · 2026-03-31 03:28:07

128

Views

What do they mean by "natural functor" here?

Published on 31 Mar 2026 - 3:28

score 124 · Answer 6 · 2026-03-25 19:05:31

124

Views

Trying to understand an application of Yoneda's lemma

Published on 25 Mar 2026 - 19:05

score 44 · Answer 7 · 2019-05-04 10:34:47

44

Views

Why every small set is a moderate set, but not conversely (as universe itself)?

Published on 04 May 2019 - 10:34

score 66 · Answer 8 · 2026-03-29 10:26:34

66

Views

Schemes and (co)products

Published on 29 Mar 2026 - 10:26

score 67 · Answer 9 · 2026-03-25 12:52:04

67

Views

"point-free" definition of MInkowski sum?

Published on 25 Mar 2026 - 12:52

score 140 · Answer 10 · 2026-04-02 12:30:25

140

Views

Is this really the only "sensible" way to define morphisms in this category?

Published on 02 Apr 2026 - 12:30

score 165 · Answer 11 · 2026-03-25 13:05:04

165

Views

A problem about colimits and the Yoneda functor

Published on 25 Mar 2026 - 13:05

score 279 · Answer 12 · 2019-05-05 13:50:30

279

Views

A morphism $f$ in an additive category is monic iff $\ker(f) = 0$

Published on 05 May 2019 - 13:50

score 138 · Answer 13 · 2026-03-25 10:28:53

138

Views

The Yoneda lemma and a natural bijection

Published on 25 Mar 2026 - 10:28

score 139 · Answer 14 · 2026-04-03 21:48:16

139

Views

Explicit formula for the equalizer of coalgebras

Published on 03 Apr 2026 - 21:48

score 41 · Answer 15 · 2026-03-29 08:45:05

41

Views

On concluding affine ness of a connected scheme from the existence of a proper monomorphism to an affine, Noetherian scheme of finite Krull dimension

Published on 29 Mar 2026 - 8:45

List Question

What exactly are the `size issues' preventing formation of presheaves being a left adjoint to some forgetful functor?

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

What is the name for this generalization of a category?

Does every module define a category?

What do they mean by "natural functor" here?

Trying to understand an application of Yoneda's lemma

Why every small set is a moderate set, but not conversely (as universe itself)?

Schemes and (co)products

"point-free" definition of MInkowski sum?

Is this really the only "sensible" way to define morphisms in this category?

A problem about colimits and the Yoneda functor

A morphism $f$ in an additive category is monic iff $\ker(f) = 0$

The Yoneda lemma and a natural bijection

Explicit formula for the equalizer of coalgebras

On concluding affine ness of a connected scheme from the existence of a proper monomorphism to an affine, Noetherian scheme of finite Krull dimension

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