From: F W Lawvere <wlawvere@ACSU.Buffalo.EDU>
To: categories@mta.ca
Subject: Re: cogenerator in omegaCat ?
Date: Wed, 21 Oct 1998 10:54:19 -0400 (EDT) [thread overview]
Message-ID: <Pine.GSO.3.96.981021104625.9674C-100000@callisto.acsu.buffalo.edu> (raw)
In-Reply-To: <199810200933.AA00901@irmast1.u-strasbg.fr>
No, it seems not since a co-generator for omega cat
would surely give rise to one for cat in particular, but such
does not exist. This contrasts with the situation for the
"larger" universe of simplicial sets. A category of "small"
sets is a kind of approximation to a co-generator, but each
enlargement of the meaning of "small" creates new categories
which are not co-generated.
Bill
*******************************************************************************
F. William Lawvere Mathematics Dept. SUNY
wlawvere@acsu.buffalo.edu 106 Diefendorf Hall
716-829-2144 ext. 117 Buffalo, N.Y. 14214, USA
*******************************************************************************
On Tue, 20 Oct 1998, Philippe Gaucher wrote:
> Dear all,
>
> Does it exist a cogenerator in the category of (strict) omega-categories ?
>
>
> pg.
>
>
next prev parent reply other threads:[~1998-10-21 14:54 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
1998-10-20 9:33 Philippe Gaucher
1998-10-21 14:54 ` F W Lawvere [this message]
1998-10-21 16:45 Philippe Gaucher
1998-10-21 19:36 ` Michael Barr
1998-10-21 22:47 Carlos Simpson
1998-10-21 23:36 Ross Street
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