From: John Baez <john.c.baez@gmail.com>
To: categories <categories@mta.ca>
Subject: Re: Composing modifications
Date: Thu, 4 Mar 2010 16:25:00 -0800 [thread overview]
Message-ID: <E1NngFV-0006b2-Fv@mailserv.mta.ca> (raw)
In-Reply-To: <4B8F6048.7000903@btinternet.com>
Ronnie Brown wrote;
Has anyone formulated a cubical (square?) version of bicategory or higher?
>
Dominic Verity invented "double bicategories", which are the fully weakened
version of double categories. Unfortunately, his thesis can only be
obtained by special shipment from Australia. Someday someone will scan it
and make it more widely available!
Luckily, you can see the definition in this paper:
Jeffrey Morton
Double bicategories and double cospans
http://arxiv.org/abs/math/0611930
For higher dimensions, try:
Marco Grandis
HIGHER COSPANS AND WEAK CUBICAL CATEGORIES
(COSPANS IN ALGEBRAIC TOPOLOGY, I)
http://tac.mta.ca/tac/volumes/18/12/18-12abs.html
and also parts II and III of this series.
Best,
jb
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-03-05 0:25 UTC|newest]
Thread overview: 10+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-02-27 14:49 David Leduc
2010-03-03 3:02 ` Tom Leinster
[not found] ` <alpine.LRH.2.00.1003030251180.22708@taylor.maths.gla.ac.uk>
2010-03-03 13:04 ` David Leduc
2010-03-04 7:24 ` Ronnie Brown
2010-03-05 0:25 ` John Baez [this message]
2010-03-05 0:43 ` David Leduc
2010-03-05 15:59 ` Richard Garner
2010-03-04 21:25 ` Robert Seely
2010-03-07 22:23 Ronnie Brown
2010-03-08 3:46 ` JeanBenabou
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