From: Alex Hoffnung <hoffnung@uottawa.ca>
To: categories <categories@mta.ca>
Subject: Bilimit question
Date: Mon, 22 Nov 2010 19:44:49 -0500 [thread overview]
Message-ID: <E1PKrdg-00080V-5V@mlist.mta.ca> (raw)
Dear List,
The weakest form of limits in a bicategory are defined by equivalences of
hom-categories in place of the slightly more strict version defined by
isomorphisms. Then the process of defining a monoidal structure on a
bicategory with finite products takes on a slightly different flavor in each
case.
In the weak case, given a pair of 1-cells one must *choose* a monoidal
product, whereas in the latter case, a *unique choice* of monoidal product
can be obtained from the one-dimensional aspect of the universal property.
I would guess that in the former case, one should not worry too much about
how to choose the product 1-cells, since the universal property will come to
the rescue when checking that one has indeed defined a monoidal structure on
the bicategory.
Does anyone know of a reference which proves something along these lines?
Best,
Alex
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2010-11-23 0:44 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-11-23 0:44 Alex Hoffnung [this message]
2010-11-23 13:04 ` Nick Gurski
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