From: Michael Barr <barr@math.mcgill.ca>
To: David Leduc <david.leduc6@googlemail.com>
Cc: categories <categories@mta.ca>
Subject: Re: Dual category and dual object
Date: Sat, 4 Sep 2010 10:46:49 -0400 (EDT) [thread overview]
Message-ID: <E1Os2wm-0006co-P2@mlist.mta.ca> (raw)
In-Reply-To: <E1Orti5-0000CK-V0@mlist.mta.ca>
On Sat, 4 Sep 2010, David Leduc wrote:
> Are the notions of dual category and dual object related?
> If not, are there any good reasons to use the word "dual" for both notions?
>
>
Of course they're related. Under a categorical duality, the object in one
category that corresponds to it in the other is the dual object. E.g.
under the duality between sets and complete atomic boolean algebras, the
object dual to to the set S is 2^S and the object dual to a CABA B is the
set of atoms of B.
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-09-04 14:46 UTC|newest]
Thread overview: 8+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-09-04 10:46 David Leduc
2010-09-04 14:46 ` Michael Barr [this message]
2010-09-04 16:38 ` Toby Bartels
2010-09-05 0:47 ` Michael Barr
[not found] ` <Pine.LNX.4.64.1009042045000.20602@msr03.math.mcgill.ca>
2010-09-05 0:54 ` Toby Bartels
2010-09-04 19:41 ` Aleks Kissinger
[not found] ` <3E056346-48EE-4D5C-A2FD-8008A722583A@mq.edu.au>
2010-09-05 1:50 ` David Leduc
[not found] ` <AANLkTikBACfX_x3DX2pUL6zSGc_5xYoz42q3Gbf3Hpby@mail.gmail.com>
2010-09-05 2:30 ` Aleks Kissinger
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=E1Os2wm-0006co-P2@mlist.mta.ca \
--to=barr@math.mcgill.ca \
--cc=categories@mta.ca \
--cc=david.leduc6@googlemail.com \
/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).