From: Aleks Kissinger <aleks0@gmail.com>
To: Mike Stay <metaweta@gmail.com>
Cc: categories <categories@mta.ca>
Subject: Re: Higher Lawvere theories?
Date: Sat, 3 Aug 2013 14:47:37 +0100 [thread overview]
Message-ID: <E1V5yLy-000740-5a@mlist.mta.ca> (raw)
In-Reply-To: <E1V5ZzW-0002v7-PW@mlist.mta.ca>
The strict case has been studied quite a bit using n-polygraphs (aka
computads), which give a way of presenting an n-category by generators
and relations (where relations are given by n+1 dimensional cells).
Often the concern is decidablility of the (higher-dimensional) word
problem, using rewriting. They originally came out of work by Street
and Burroni. More recently, Yves Guiraud has written about them quite
extensively. See e.g.:
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.144.3106&rep=rep1&type=pdf
Best,
Aleks Kissinger
On 2 August 2013 17:35, Mike Stay <metaweta@gmail.com> wrote:
> Has anyone worked out the details of "higher Lawvere theories" so that
> one can say "the free bicategory on this object, these morphisms,
> these 2-morphisms, modulo these equations of 2-morphisms"?
> --
> 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:[~2013-08-03 13:47 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2013-08-02 16:35 Mike Stay
2013-08-03 13:47 ` Aleks Kissinger [this message]
[not found] ` <CAC9Y7nn0Zp1eo+KAQ14tGTAbpF60KULzSymv2jGEPNGe7VvdVw@mail.gmail.com>
2013-08-04 14:52 ` Thomas Fiore
2013-08-05 16:08 ` Mike Stay
2013-08-04 3:08 Noson S. Yanofsky
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