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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
11
votes
3
answers
4k
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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!
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:)
0
votes
1
answer
989
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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 …