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categories: adjoint equivalence

To: categories@mta.ca
Subject: categories: adjoint equivalence
From: Paul LEVY <levy@pps.jussieu.fr>
Date: Tue, 20 Nov 2001 17:50:47 +0100
Sender: cat-dist@mta.ca

Hi, I have a question.  If P and Q are objects in a 2-category C, and there is an equivalence between them, must there be an adjoint equivalence (an adjunction whose unit and counit are both isomorphisms) between them?  Mac Lane answers this affirmatively in the case C = Cat, but, as far as I can tell, his proof doesn't generalize.

Thanks for your help
Paul

-- 
Paul Blain Levy
Université Paris 7
http://www.pps.jussieu.fr/~levy

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