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Results tagged with yoneda-lemma
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user 11640
8
votes
Accepted
Unicity of Yoneda isomorphism
If there is an isomorphism $\mathrm{Hom}(y C, P) \cong P (C)$ natural in $P$ and $C$, then by restricting to the representable functors one obtains an automorphism of the identity functor of the categ …
- 15.9k
7
votes
Yoneda on a not so small category
You could use the usual device of assuming a Grothendieck universe: Mac Lane does this in [Categories for the working mathematician]. But actually you don't need that for the Yoneda lemma – you could …
- 15.9k