Millionaire Mode

Yoneda's Lemma

Question 1 of 5

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.

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000