From: "Dr. P.T. Johnstone" <P.T.Johnstone@dpmms.cam.ac.uk>
To: nxg@cs.bham.ac.uk
Cc: categories@mta.ca
Subject: Re: Naturality Squares and Pullbacks
Date: Wed, 25 Mar 1998 10:04:10 +0000 (GMT) [thread overview]
Message-ID: <E0yHn2Y-00077y-00@owl.dpmms.cam.ac.uk> (raw)
In-Reply-To: <199803240215.LAA10126@etlclu.etl.go.jp> from "Neil Ghani" at Mar 24, 98 11:15:42 am
Natural transformations for which the naturality square is a pullback
are commonly called cartesian: it's not an ideal name for them, but
it's quite well established. For the question of when the unit and
multiplication of a monad on Sets are cartesian, see section 3 of
"Connected limits, familial representability and Artin glueing"
by A. Carboni and P.T. Johnstone (Math. Struct. Comp. Sci. 5 (1995),
441--459).
Peter Johnstone
next prev parent reply other threads:[~1998-03-25 10:04 UTC|newest]
Thread overview: 4+ messages / expand[flat|nested] mbox.gz Atom feed top
1998-03-24 2:15 Neil Ghani
1998-03-25 10:04 ` Dr. P.T. Johnstone [this message]
1998-04-06 3:15 ` Barry Jay
1998-03-25 7:23 Max Kelly
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