Question

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

score 167 · Answer 1 · 2019-09-25 10:01:23

167

Views

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

Published on 25 Sep 2019 - 10:01

score 126 · Answer 2 · 2019-09-30 09:12:00

126

Views

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

Published on 30 Sep 2019 - 9:12

score 758 · Answer 3 · 2019-09-30 17:55:05

758

Views

Monomorphisms are preserved by Representable Functors

Published on 30 Sep 2019 - 17:55

score 194 · Answer 4 · 2019-10-01 22:49:48

194

Views

Equivalent functors carrying representability

Published on 01 Oct 2019 - 22:49

score 136 · Answer 5 · 2026-03-24 13:54:59

136

Views

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

Published on 24 Mar 2026 - 13:54

score 135 · Answer 6 · 2019-10-17 12:45:31

135

Views

Two definitions of representable functor

Published on 17 Oct 2019 - 12:45

score 179 · Answer 7 · 2019-10-28 14:45:24

179

Views

Universal properties in measure theory and probabilities

Published on 28 Oct 2019 - 14:45

score 152 · Answer 8 · 2019-11-14 15:08:13

152

Views

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

Published on 14 Nov 2019 - 15:08

score 117 · Answer 9 · 2019-11-20 11:15:05

117

Views

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

Published on 20 Nov 2019 - 11:15

score 74 · Answer 10 · 2019-11-20 19:49:29

74

Views

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

Published on 20 Nov 2019 - 19:49

score 163 · Answer 11 · 2026-03-12 00:46:12

163

Views

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

Published on 12 Mar 2026 - 0:46

score 358 · Answer 12 · 2026-03-24 10:49:56

358

Views

Representability of a functor in the category of schemes

Published on 24 Mar 2026 - 10:49

score 830 · Answer 13 · 2019-12-24 10:16:57

830

Views

Representable functor is left-adjoint

Published on 24 Dec 2019 - 10:16

score 338 · Answer 14 · 2020-01-09 14:59:35

338

Views

For which categories is its Yoneda embedding essentially surjective?

Published on 09 Jan 2020 - 14:59

score 397 · Answer 15 · 2020-02-08 16:43:48

397

Views

Describing the universal property of the evaluation map

Published on 08 Feb 2020 - 16:43

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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