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15
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Every representable presheaf is projective

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#category-theory #yoneda-lemma #diagram-chasing #natural-transformations
200
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Are Yoneda lifts (twice) of fully faithful functors fully faithful?

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#category-theory #yoneda-lemma #kan-extensions
740
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Left (resp. right) adjoint functor fully faithful iff unit (resp. counit) isomorphism

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#category-theory #adjoint-functors #functors #yoneda-lemma
173
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Exponentials in the category of graphs?

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#graph-theory #category-theory #functors #yoneda-lemma
88
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Proving an equality of functors in algebraic theories

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#abstract-algebra #category-theory #universal-algebra #yoneda-lemma
304
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Yoneda embedding preserves finite coproducts

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#category-theory #products #yoneda-lemma
173
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Presheaves are the Free Cocompletion - Proving that the functor preserves colimits

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#category-theory #limits-colimits #functors #yoneda-lemma #representable-functor
257
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Is there a connection between the Whitney embedding theorem and Cayley's theorem?

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#group-theory #category-theory #soft-question #manifolds #yoneda-lemma
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
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
516
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When left Kan extension preserve colimits

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#category-theory #yoneda-lemma #kan-extensions
62
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Quotient of a free group on a set

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#category-theory #free-groups #universal-property #yoneda-lemma
154
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What are some interesting applications of Yoneda's lemma in (functional) analysis?

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#functional-analysis #homological-algebra #yoneda-lemma

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