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15
100
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A particular presheaf on a small category. What if it's representable?

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#category-theory #functors #yoneda-lemma #presheaves
64
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If the presheaf Hom$_\mathcal{C}(- \times A, B) : \mathcal{C}^\text{op} \to \textbf{Set}$ is representable, then $\mathcal{C}$ is ccc

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#category-theory #functors #yoneda-lemma #presheaves
61
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Representable presheaves on the slice category

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#reference-request #category-theory #representable-functor #slice-category #presheaves
39
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What is a germ of a presheaf?

Published on
#homology-cohomology #sheaf-theory #affine-schemes #presheaves
127
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Inverse image - direct image adjunction

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#sheaf-theory #adjoint-functors #functors #presheaves
52
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Higher direct images of a sheaf in Kempf's Algebraic Varieties

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#algebraic-geometry #commutative-algebra #presheaves
115
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For the sheaf $\mathscr{F}^+$ associated to the presheaf $\mathscr{F}$, how to prove $\mathscr{F}^+_P=\mathscr{F}_P$?

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#algebraic-geometry #sheaf-theory #presheaves
51
Views

Existence of a sheafification for every presheaf $ \mathcal{O} '$

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#sheaf-theory #ringed-spaces #supermanifolds #presheaves
40
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Show the existence of a sheafification for every presheaf $\mathcal{O} '$

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#sheaf-theory #supergeometry #supermanifolds #presheaves
159
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A short exact sequence of sheaves of vector spaces that always splits

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#abstract-algebra #homological-algebra #exact-sequence #presheaves
90
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What is the difference between a presheaf and a contravariant Hom functor

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#category-theory #hom-functor #presheaves
78
Views

Questions about étale space construction of sheafification

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#algebraic-geometry #sheaf-theory #presheaves
40
Views

Is the quotient of separated presheaves separated?

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#sheaf-theory #presheaves
76
Views

Hom of sheafification

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#algebraic-geometry #category-theory #sheaf-theory #presheaves
127
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Natural transformations and canonical maps

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#category-theory #natural-transformations #presheaves

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