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15
84
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Showing that $H_A\simeq H_{A'}$ implies $A\simeq A'$

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#category-theory #functors #representable-functor #hom-functor
110
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Details of the criterion for representability of a functor of S-schemes

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#algebraic-geometry #category-theory #schemes #functors #representable-functor
177
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Gluing morphisms of sheaves on the big zariski site

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#algebraic-geometry #category-theory #sheaf-theory #schemes #representable-functor
181
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Subobjects in the category of presheaves?

Published on
#category-theory #yoneda-lemma #representable-functor
120
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Why is the ring of local-ring valued points of a ring scheme a local ring.

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#algebraic-geometry #schemes #algebraic-groups #representable-functor #ringed-spaces
267
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Leinster's proof of "Representables preserve limits"

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#category-theory #proof-explanation #functors #representable-functor
128
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Expressing a presheaf as a colimit of representables

Published on
#category-theory #proof-explanation #representable-functor
122
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The connectedness property of representables

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#category-theory #representable-functor
60
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Are these two functors same (isomorphic)?

Published on
#schemes #functors #representable-functor
219
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How do you write a copresheaf as a limit of corepresentable functors?

Published on
#category-theory #limits-colimits #representable-functor
109
Views

What to call the natural transformation in the Yoneda lemma

Published on
#category-theory #terminology #functors #yoneda-lemma #representable-functor
91
Views

Vector Spaces as Functors

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#algebraic-geometry #algebraic-groups #representable-functor
74
Views

Example of non representable limits-preserving functor

Published on
#category-theory #limits-colimits #adjoint-functors #representable-functor
68
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Understanding a proof of representability and exactness of tensor product functor

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#category-theory #tensor-products #abelian-categories #functors #representable-functor
52
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Equivalence relation functor representable?

Published on
#category-theory #equivalence-relations #representable-functor

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