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From: Josh Nichols-Barrer <jnb@math.mit.edu>
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Subject: unital weak functor?
Date: Tue, 18 Sep 2007 20:58:46 -0400 (EDT)
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Hi everyone,

Is there a name for a weak functor between bicategories which takes
identity 1-morphisms to identity 1-morphisms?  "Unital weak functor" would
seem an apt name, but if there is another with more precedent I'll just
use that instead.

Best,
Josh