From: Oswald Wyler <owyler@suscom-maine.net>
To: categories@mta.ca
Subject: Query
Date: Mon, 5 May 2003 13:46:43 -0400 (EDT) [thread overview]
Message-ID: <Pine.LNX.4.44.0305051343560.1296-100000@192-173.suscom-maine.net> (raw)
For every set Z, there is a self-adjoint contravariant functor Q=ENS(--,Z),
with unit/counit h:Id-->Q^op Q given by (h_X)(x)(f)=f(x). Let Q-alg denote
the category of algebras for the monad induced by this self-adjunction.
If Z is not empty or a singleton, then the comparison functor ENS^op-->Q-alg
is an equivalence by results of M. Sobral. If Z has two members, then Q-alg
is isomorphic to CaBool, the category of complete atomic Boolean algebras.
What is known about Q-alg if Z has more than two members (beyond the fact
that Q-alg and CaBool are equivalent)?
next reply other threads:[~2003-05-05 17:46 UTC|newest]
Thread overview: 23+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <owyler@suscom-maine.net>
2003-05-05 17:46 ` Oswald Wyler [this message]
2003-05-07 18:55 ` Query (Q-algebras) Vaughan Pratt
2003-05-08 19:05 ` Vaughan Pratt
2003-05-09 11:24 ` Ernie Manes
2009-06-26 15:51 query Tom Leinster
-- strict thread matches above, loose matches on Subject: below --
2009-06-26 10:47 query Noson S. Yanofsky
2009-06-24 16:18 query jim stasheff
2008-07-17 8:35 Query Johannes Huebschmann
2003-10-02 12:55 query jim stasheff
[not found] <199811190226.NAA02248@macadam.mpce.mq.edu.au>
1998-11-20 23:06 ` query Michael Batanin
1998-11-19 9:31 query Marco Grandis
1998-11-19 1:15 query Ross Street
1998-11-18 4:12 query john baez
1998-11-16 22:08 query James Stasheff
1997-10-07 11:30 query categories
1997-10-02 19:52 query categories
1997-10-01 19:50 query categories
1997-07-01 18:14 Query categories
1997-07-01 2:41 Query categories
1997-07-01 2:39 Query categories
1997-06-29 14:39 Query categories
1997-02-10 15:52 query categories
1997-02-10 1:03 query categories
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