From: John Baez <baez@math.ucr.edu>
To: categories <categories@mta.ca>
Subject: Re: Makkai's suggestion
Date: Mon, 30 Aug 2010 12:53:17 +0800 [thread overview]
Message-ID: <E1Oq7Cg-0001fQ-Ne@mlist.mta.ca> (raw)
In-Reply-To: <AANLkTikK_KK3qHEJOewHY+c7u5=PYBs3JBjFrXX0ag_J@mail.gmail.com>
David Leduc wrote:
In "Towards a categorical foundation of mathematics", Makkai wrote that:
>
> "This suggests that, possibly, the right approach to the definition of weak
> n-category is to aim at formulating all coherence conditions at once,
> regardless the fact that this might give a very "theoretical" definition.
> It
> would then be a separate, and still very important, project to find a
> (hopefully) finite and concise set of coherence conditions that would be
> enough to imply all coherence conditions."
>
> It was 15 years ago! Did this approach give something?
>
Yes: most or all of the successful approaches to infinity-categories follow
a philosophy of this general sort. You can find a lot of references here:
http://ncatlab.org/johnbaez/show/Towards+Higher+Categories
Best,
jb
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-08-30 4:53 UTC|newest]
Thread overview: 8+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-08-29 5:26 David Leduc
2010-08-30 4:53 ` John Baez [this message]
2010-08-31 1:01 ` David Leduc
[not found] ` <AANLkTimDqh1tCxooE_Kca_SHPxN3sqC80d08zQcZ1Cx+@mail.gmail.com>
2010-08-31 4:34 ` John Baez
2010-09-01 21:42 ` Greg Meredith
[not found] ` <AANLkTinMcT+eTMb03vo2a7f4ud-xtv-E8_gvXy=VPhXF@mail.gmail.com>
2010-09-06 17:08 ` Greg Meredith
2010-09-03 4:04 John Baez
2010-09-04 17:16 ` Ronnie Brown
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