RE: Fundamental Theorem of Category Theory?

[Hasse Riemann <rafaelb77@hotmail.com>]

 
 
Dear Ellis
 

I also had this question when i started with category theory but
i was satisfied with the Yoneda lemma. Now thanks to your question
i know more theorems to answer this.

I don't think you can get a better answer than the replied suggestions.
 
However there is also higher category theory.
The interesting point would now be to generalize:
 
What are the coresponding theorems for strict/weak n-categories?
 
I plan to at least ask for and suggest a higher dimensional Yoneda lemma.
 
The other adjoints preserving limits theorem is also interesting to
generalize. But here as far as i know there is no concept of adjoint
for 3-categories and higher up. I am more uncertain as to limits,
but i have not seen limits in n-categories defined in the
graceful style of limits in 1-categories.
 
Best regards
Rafael Borowiecki
 
 

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