From: Mike Stay <metaweta@gmail.com>
To: categories <categories@mta.ca>
Subject: Re: Gray tensor product
Date: Fri, 27 May 2011 14:37:38 -0700 [thread overview]
Message-ID: <E1QQDcc-00063N-GE@mlist.mta.ca> (raw)
In-Reply-To: <20110527171658.GA2358@sappho>
On Fri, May 27, 2011 at 10:16 AM, Finn Lawler <flawler@cs.tcd.ie> wrote:
> Mike Stay wrote:
>> Has anyone "unpacked" the meaning of the Gray tensor product of strict
>> 2-categories? I'm looking for something like "the Gray product C
>> tensor D is the 2-category whose
>> - objects are pairs (c,d)
>> - morphisms are ...
>> - 2-morphisms are ..."
>
> Gray's book Formal Category Theory: Adjointness for 2-Categories (Springer LNM 391) is the original reference. Theorem 4.9 constructs the 'lax' tensor product. A good reference for the 'pseudo' tensor product is chapter 5 of Nick Gurski's 2007 Ph.D. thesis 'An algebraic theory of tricategories'.
Thanks to everyone! Gurski's exposition is exactly what I was looking for.
--
Mike Stay - metaweta@gmail.com
http://www.cs.auckland.ac.nz/~mike
http://reperiendi.wordpress.com
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2011-05-27 21:37 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-05-26 23:57 Mike Stay
[not found] ` <20110527171658.GA2358@sappho>
2011-05-27 21:37 ` Mike Stay [this message]
2011-05-30 9:43 ` Ross Street
2011-05-27 16:56 Ronnie Brown
2011-05-27 17:16 Finn Lawler
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