From: Ross Street <ross.street@mq.edu.au>
To: Mike Stay <metaweta@gmail.com>
Cc: categories <categories@mta.ca>
Subject: Re: Gray tensor product
Date: Mon, 30 May 2011 11:43:30 +0200 [thread overview]
Message-ID: <E1QR5k6-0003ZZ-SM@mlist.mta.ca> (raw)
In-Reply-To: <E1QPxat-0002zx-3D@mlist.mta.ca>
Dear Mike
Perhaps my notes on the subject at
http://www.math.mq.edu.au/~street/GrayTensor.pdf
will help a bit.
Ross
www.math.mq.edu.au/~street
Sent from my iPad
On 27/05/2011, at 1:57 AM, Mike Stay <metaweta@gmail.com> 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 ..."
>
> 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 prev parent reply other threads:[~2011-05-30 9:43 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
2011-05-30 9:43 ` Ross Street [this message]
2011-05-27 16:56 Ronnie Brown
2011-05-27 17:16 Finn Lawler
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