From: Mike Stay <metaweta@gmail.com>
To: categories <categories@mta.ca>
Subject: Gray tensor product
Date: Thu, 26 May 2011 16:57:58 -0700 [thread overview]
Message-ID: <E1QPxat-0002zx-3D@mlist.mta.ca> (raw)
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 ..."
My higher-category-fu isn't strong enough yet to grok the implicit definition
2Cat(C tensor D, E) ~= 2Cat(C, Ps(D,E)),
where Ps(D,E) is the 2-category of 2-functors D->E, pseudonatural
transformations, and modifications.
--
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 reply other threads:[~2011-05-26 23:57 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-05-26 23:57 Mike Stay [this message]
[not found] ` <20110527171658.GA2358@sappho>
2011-05-27 21:37 ` Mike Stay
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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