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15
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Proving the representability of a functor, which is covered by open subfunctors

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#algebraic-geometry #representable-functor
931
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Simple examples of non-representable functors

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#category-theory #yoneda-lemma #representable-functor
38
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Quot-like scheme for torsion sheaves

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#algebraic-geometry #schemes #coherent-sheaves #moduli-space #representable-functor
224
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Every presheaf is a colimit of representables using point-wise computation of colimits

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#category-theory #limits-colimits #functors #representable-functor
104
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Representability criterion for schemes

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#algebraic-geometry #sheaf-theory #schemes #representable-functor
419
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Why are coproduct objects corepresentations of cartesian products, rather than representations of disjoint unions?

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#category-theory #representable-functor
232
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Why is the Grassmannian functor representable by a scheme?

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#algebraic-geometry #proof-explanation #sheaf-theory #schemes #representable-functor
174
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On the proof that $1_{\textbf{Set}}$ is representable

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#proof-verification #category-theory #functors #representable-functor
128
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Representable functor example

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#category-theory #representable-functor
229
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Showing that a functor $Cat\to Set$ is representable

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#category-theory #functors #representable-functor
732
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On the functorial point of view in algebraic geometry.

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#algebraic-geometry #moduli-space #representable-functor
68
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Reflections in locally presentable categories-unclear step in the proof

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#category-theory #representable-functor #locally-presentable-categories
1.5k
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Why is the forgetful functor representable?

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#category-theory #representable-functor #forgetful-functors
107
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Representability of functors in categories other than Set category

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#category-theory #representable-functor #forgetful-functors
102
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$\mathbb{A}^2_{\mathbb{Z}} \backslash \{(0,0)\}$ represents a functor & a beautiful glueing story

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#algebraic-geometry #schemes #representable-functor

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