From: David Roberts <david.roberts@adelaide.edu.au>
To: categories@mta.ca
Subject: Re: biadjoint biequivalences
Date: Wed, 20 Aug 2008 21:39:59 +0930 [thread overview]
Message-ID: <E1KW9MO-0006nD-M0@mailserv.mta.ca> (raw)
Hi all,
Tom Fiore wrote:
> Theorem. 9.17
> Let X and A be strict 2-categories, and G:A -> X a pseudo functor. There
> exists a left biadjoint for G if and only if for every object x of X there
> exists an object r of A and a biuniversal arrow x -> Gr from x to G.
Of course this begs the obvious question, how hard is this to generalise to
bicategories?
I'm surprised no-one has mentioned Gurksi's thesis, which I just came across.
Appendix A has details of adjunctions in bicategories, and biadjunctions in
tricategories, citing Verity's thesis in the case of Gray-categories.
Best,
David
reply other threads:[~2008-08-20 12:09 UTC|newest]
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