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15
87
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Definition of representable functor with values in $Ab$

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#category-theory #representable-functor #forgetful-functors
293
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Does this functor commute with inverse limits?

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#algebraic-topology #category-theory #cw-complexes #functors #representable-functor
247
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Yoneda's lemma: group morphisms give Hopf-algebra morphisms

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#category-theory #duality-theorems #hopf-algebras #natural-transformations #representable-functor
83
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representable functors and finitely generated algebras

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#algebraic-geometry #commutative-algebra #representable-functor
355
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Non-isomorphic locally ringed spaces which represent isomorphic functors $\mathsf{CommRing} \to \mathsf{Set}$.

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#algebraic-geometry #representable-functor #ringed-spaces
116
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If $M$ is an $R$-module, when is $A\mapsto Aut(M\otimes_{R}A)$ a representable functor?

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#ring-theory #commutative-algebra #group-schemes #representable-functor
146
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Calculating the geometric realization of a non-representable functor

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#algebraic-geometry #commutative-algebra #category-theory #yoneda-lemma #representable-functor
82
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The functor $U\circ C:\mathbf{Top}^{op}\to \mathbf{Set}$ is representable

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#general-topology #category-theory #functors #representable-functor
122
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Why is the functor that associates to a scheme $S$ the set of $S$-isomorphism classes of elliptic curves over $S$ not representable?

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#algebraic-geometry #elliptic-curves #etale-cohomology #representable-functor
87
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The proof of the Yoneda lemma's corollary

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#abstract-algebra #category-theory #yoneda-lemma #representable-functor
43
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About Leinster's discussion of Corollary 4.3.10

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#category-theory #yoneda-lemma #representable-functor
318
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Deducing Cayley's theorem from the Yoneda lemma using Wikipedia's recipe

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#abstract-algebra #group-theory #category-theory #yoneda-lemma #representable-functor
465
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Is a subfunctor of a representable functor also representable?

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#reference-request #category-theory #schemes #representable-functor
213
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Zariski site is subcanonical?

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#algebraic-geometry #category-theory #sheaf-theory #topos-theory #representable-functor
56
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Why is the functor $S\mapsto$ isomorphism classes of curves of genus $g$ over $S$ not representable?

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#algebraic-geometry #elliptic-curves #functors #representable-functor

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