From: Michael Barr <barr@barrs.org>
To: Categories list <categories@mta.ca>
Subject: Re: comparing cotriples via an adjoint pair
Date: Fri, 21 May 2004 16:30:36 -0400 (EDT) [thread overview]
Message-ID: <Pine.LNX.4.44.0405211627450.4938-100000@triples.math.mcgill.ca> (raw)
In-Reply-To: <5.1.0.14.2.20040520232118.0235f070@mailbox.syr.edu>
Although I cannot be sure, this looks an awful lot like an adjoint triple.
I think Charles and I had a section of TTT on this. It was certainly not
new with us and may have even been in Harry Appelgate's thesis back around
40 years ago.
Michael
On Thu, 20 May 2004, Gaunce Lewis wrote:
> I have encountered a situation in which I have two categories C, D which
> are related by a pair of adjoint functors L from C to D and R from D to
> C. Also, there is a cotriple S on C and a cotriple T on D. Finally, there
> is a natural isomorphism f from RT to SR. It seems that if a couple of
> diagrams relating f to the structure maps of the cotriples commute, then
> there is an induced adjoint pair relating the two coalgebra categories. Is
> this, or something similar to it, in the literature in some easily
> referenced place?
>
> Thanks,
> Gaunce
>
>
>
>
next prev parent reply other threads:[~2004-05-21 20:30 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2004-05-21 3:28 Gaunce Lewis
2004-05-21 20:30 ` Michael Barr [this message]
2004-05-21 20:54 ` Prof. Peter Johnstone
2004-05-22 15:17 ` Oswald Wyler
2004-05-24 9:04 ` Steve Vickers
2004-05-31 13:52 Claudio Hermida
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.LNX.4.44.0405211627450.4938-100000@triples.math.mcgill.ca \
--to=barr@barrs.org \
--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).