From: Alex Hoffnung <alex@math.ucr.edu>
To: categories@mta.ca
Subject: Spans in Bicategories
Date: Mon, 2 Aug 2010 21:10:37 -0400 [thread overview]
Message-ID: <E1OgauG-0006xd-Vy@mlist.mta.ca> (raw)
Hello all,
In Benabou's 1967 paper, he gives the bicategory of spans in a
category with pullbacks as an example of a bicategory. It seems to be
fairly common knowledge that spans in a bicategory with weak pullbacks
form a tricategory (or a bicategory if appropriate isomorphism classes
are taken or fibrations required). If the bicategory has finite
limits there should be a monoidal structure as well.
I know people use these results fairly often, at least at the level of
monoidal bicategories, but does anyone know if there exists a written
account of such a theorem?
Best,
Alex Hoffnung
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
reply other threads:[~2010-08-03 1:10 UTC|newest]
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