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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

11 votes
3 answers
4k views

Cayley's Theorem and the Yoneda Lemma [closed]

Hi, from wiki, I know that yoneda lemma is the generalization of Cayley's theorem. But I am not quite understand the intuition behind that. Anyone can help me with that? Cheers!
user12394's user avatar
  • 165
4 votes
3 answers
2k views

prove natural transformation is epimorphism

Let C^ = Cop to Set, for a natural transformation f:X-Y in C^, how to prove if f is an epimorphism, then fc is surjective for all objects c in C? Anyone can help me with that? Thank you in advance:)
user12394's user avatar
  • 165
0 votes
1 answer
989 views

how to prove cartesian closed category with finite coproducts is distributive category?

I know that cartesian closed category must have finite products and exponential objects. distributive category must have finite product, finite coproduct and s.t. A*0~0, A*B+A*c~A*(B+C). I think someh …
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  • 165