From: "Jonathan CHICHE 齊正航" <chichejonathan@gmail.com>
To: categories <categories@mta.ca>
Subject: Reference: equivalences can be made into adjunctions
Date: Sat, 6 Apr 2013 22:22:31 +0200 [thread overview]
Message-ID: <E1UP0MX-0005IM-Hz@mlist.mta.ca> (raw)
Dear all,
This is a standard fact, proved for instance in details in "Categories for the Working Mathematician" (Chapter 4, Section 4, Theorem 1 in the second edition), that a functor is an equivalence of categories if and only if it is part of an adjoint equivalence. I would like to use the fact that this is true in an arbitrary 2-category, i.e. that given an equivalence in a 2-category the invertible 2-cells can be required to satisfy the triangle identities. Is there a standard reference for this fact? Well-known books such as classical introductions to category theory are particularly welcome.
Thanks,
Jonathan
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next reply other threads:[~2013-04-06 20:22 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2013-04-06 20:22 Jonathan CHICHE 齊正航 [this message]
2013-04-08 7:57 ` Paul Levy
2013-04-08 10:09 ` Jean Bénabou
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