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Yoneda's Lemma

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Multiple Choice

What is the statement of Yoneda's Lemma?

  1. For any category C and any object X in C, there is a natural isomorphism between the functor category C/X and the category of functors from C to Set.
  2. For any category C and any object X in C, there is a natural isomorphism between the functor category C/X and the category of natural transformations from the constant functor X to the identity functor on C.
  3. For any category C and any object X in C, there is a natural isomorphism between the functor category C/X and the category of natural transformations from the identity functor on C to the constant functor X.
  4. For any category C and any object X in C, there is a natural isomorphism between the functor category C/X and the category of functors from C to Set that preserve finite limits.
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