From: Finn Lawler <flawler@cs.tcd.ie>
To: Mike Stay <metaweta@gmail.com>
Cc: categories@mta.ca
Subject: Re: Gray tensor product
Date: Fri, 27 May 2011 18:16:58 +0100 [thread overview]
Message-ID: <E1QQ2rb-0003rN-04@mlist.mta.ca> (raw)
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'.
FL
--
Finn Lawler
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2011-05-27 17:16 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-05-27 17:16 Finn Lawler [this message]
-- strict thread matches above, loose matches on Subject: below --
2011-05-27 16:56 Ronnie Brown
2011-05-26 23:57 Mike Stay
[not found] ` <20110527171658.GA2358@sappho>
2011-05-27 21:37 ` Mike Stay
2011-05-30 9:43 ` Ross Street
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