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15
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Relation between representable functors and adjunction

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#category-theory #adjoint-functors #representable-functor
68
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Universal properties for groups arising from representations

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#abstract-algebra #group-theory #category-theory #functors #representable-functor
158
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Dual version of "representables preserve limits"

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#category-theory #limits-colimits #functors #representable-functor
107
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Observation about powers and copowers (in category theory)

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#category-theory #limits-colimits #adjoint-functors #functors #representable-functor
54
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Limit cones and representations (Leinster's Proposition 6.1.1)

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#abstract-algebra #category-theory #limits-colimits #representable-functor
128
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Criterium for the representability of a functor

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#algebraic-geometry #schemes #zariski-topology #representable-functor
73
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Showing that a morphism is unique

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#category-theory #yoneda-lemma #representable-functor
137
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Representability of relative spectrum of a quasi-coherent sheaf of algebras

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#algebraic-geometry #sheaf-theory #zariski-topology #representable-functor
170
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Notation in Katz-Mazur Arithmetic Moduli of Elliptic Curves

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#number-theory #schemes #functors #moduli-space #representable-functor
211
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Limits/Colimits as representing objects and size of functor category

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#category-theory #limits-colimits #representable-functor
185
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Why aren't sheaf categories locally small?

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#algebraic-geometry #category-theory #sheaf-theory #functors #representable-functor
29
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Product of functors (A,_) being a generator and the arbitrary sum of left-exact functors

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#exact-sequence #abelian-categories #representable-functor
346
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When does a representable functor have a right adjoint?

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#category-theory #adjoint-functors #yoneda-lemma #representable-functor
78
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How does the duality functor with respect to $K$ behave on morphisms?

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#abstract-algebra #category-theory #duality-theorems #yoneda-lemma #representable-functor
121
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Can (should?) the Yoneda embedding be formulated in terms of $0$-categories?

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#category-theory #foundations #large-cardinals #yoneda-lemma #representable-functor

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