Question

Scheme $\text{Spec}(S^*\text{Hom}(V,W)^{\vee})$ from "The Geometry of Moduli Spaces of Sheaves"

score 168 · Answer 1 · 2026-03-25 09:29:04

168

Views

Scheme $\text{Spec}(S^*\text{Hom}(V,W)^{\vee})$ from "The Geometry of Moduli Spaces of Sheaves"

Published on 25 Mar 2026 - 9:29

score 127 · Answer 2 · 2026-03-25 09:26:37

127

Views

Functor $G$ has right adjoint iff $Y \mapsto Hom(X, G(Y))$ is corepresentable

Published on 25 Mar 2026 - 9:26

score 759 · Answer 3 · 2026-03-25 09:32:27

759

Views

Monomorphisms are preserved by Representable Functors

Published on 25 Mar 2026 - 9:32

score 195 · Answer 4 · 2026-03-25 09:22:13

195

Views

Equivalent functors carrying representability

Published on 25 Mar 2026 - 9:22

score 139 · Answer 5 · 2026-05-07 17:14:02

139

Views

Global sections functor is fully faithful if and only if it is logical

Published on 07 May 2026 - 17:14

score 136 · Answer 6 · 2026-03-25 11:14:11

136

Views

Two definitions of representable functor

Published on 25 Mar 2026 - 11:14

score 180 · Answer 7 · 2026-03-30 15:32:08

180

Views

Universal properties in measure theory and probabilities

Published on 30 Mar 2026 - 15:32

score 153 · Answer 8 · 2026-04-19 13:31:13

153

Views

Extension of a functor by colimits: Cisinski - Higher Categories and Homotopical Algebra - Remark 1.1.11

Published on 19 Apr 2026 - 13:31

score 118 · Answer 9 · 2026-04-21 17:03:14

118

Views

Is there a canonical way to go back from $\hat{\mathbb{C}}$ (presheaves) to $\mathbb{C}$

Published on 21 Apr 2026 - 17:03

score 76 · Answer 10 · 2026-04-21 21:36:54

76

Views

Using Yoneda's lemma to "guess" the definition of exponential object in $SET$

Published on 21 Apr 2026 - 21:36

score 164 · Answer 11 · 2026-04-21 15:20:08

164

Views

Alternate definition of Group Object, and how to 'play' with it?

Published on 21 Apr 2026 - 15:20

score 372 · Answer 12 · 2026-04-28 13:44:13

372

Views

Representability of a functor in the category of schemes

Published on 28 Apr 2026 - 13:44

score 832 · Answer 13 · 2026-05-07 02:25:34

832

Views

Representable functor is left-adjoint

Published on 07 May 2026 - 2:25

score 340 · Answer 14 · 2026-04-27 06:07:00

340

Views

For which categories is its Yoneda embedding essentially surjective?

Published on 27 Apr 2026 - 6:07

score 399 · Answer 15 · 2026-04-20 06:50:59

399

Views

Describing the universal property of the evaluation map

Published on 20 Apr 2026 - 6:50

List Question

Scheme $\text{Spec}(S^*\text{Hom}(V,W)^{\vee})$ from "The Geometry of Moduli Spaces of Sheaves"

Functor $G$ has right adjoint iff $Y \mapsto Hom(X, G(Y))$ is corepresentable

Monomorphisms are preserved by Representable Functors

Equivalent functors carrying representability

Global sections functor is fully faithful if and only if it is logical

Two definitions of representable functor

Universal properties in measure theory and probabilities

Extension of a functor by colimits: Cisinski - Higher Categories and Homotopical Algebra - Remark 1.1.11

Is there a canonical way to go back from $\hat{\mathbb{C}}$ (presheaves) to $\mathbb{C}$

Using Yoneda's lemma to "guess" the definition of exponential object in $SET$

Alternate definition of Group Object, and how to 'play' with it?

Representability of a functor in the category of schemes

Representable functor is left-adjoint

For which categories is its Yoneda embedding essentially surjective?

Describing the universal property of the evaluation map

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