From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: Re: local maps of toposes are always UIAO
Date: Tue, 4 Nov 1997 08:18:07 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.971104081754.15824F-100000@mailserv.mta.ca> (raw)
Date: Tue, 4 Nov 1997 10:31:16 +0000 (GMT)
From: Dr. P.T. Johnstone <P.T.Johnstone@dpmms.cam.ac.uk>
Thomas Streicher asked
> I'd like to know whether the following simple observation is well known.
> If F -| U : E -> S is a local map of toposes i.e. Gamma : Gl(F) -> Gl(Id_S)
> has a fibred right adjoint Nabla then U is full and faithful, i.e. one has
> the situation of a Unity and Identity of Adjoint Opposites in Lawvere's
> sense.
Yes, there is a simple proof of this fact in Proposition 1.4 of "Local
maps of toposes" by Johnstone & Moerdijk (Proc. London Math. Soc. (3)
58 (1989), 281--305).
next reply other threads:[~1997-11-04 12:18 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
1997-11-04 12:18 categories [this message]
-- strict thread matches above, loose matches on Subject: below --
1997-11-03 19:43 categories
Reply instructions:
You may reply publicly to this message via plain-text email
using any one of the following methods:
* Save the following mbox file, import it into your mail client,
and reply-to-all from there: mbox
Avoid top-posting and favor interleaved quoting:
https://en.wikipedia.org/wiki/Posting_style#Interleaved_style
* Reply using the --to, --cc, and --in-reply-to
switches of git-send-email(1):
git send-email \
--in-reply-to=Pine.OSF.3.90.971104081754.15824F-100000@mailserv.mta.ca \
--to=cat-dist@mta.ca \
--cc=categories@mta.ca \
/path/to/YOUR_REPLY
https://kernel.org/pub/software/scm/git/docs/git-send-email.html
* If your mail client supports setting the In-Reply-To header
via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line
before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).