From: "Ellis D. Cooper" <xtalv1@netropolis.net>
To: categories@mta.ca
Subject: Simple Situation
Date: Fri, 04 Dec 2009 12:26:22 -0500 [thread overview]
Message-ID: <E1NGecr-0006DH-E3@mailserv.mta.ca> (raw)
Dear categorists,
Let C be a category with a distinguished sub-category E and a
distinguished family S of morphisms
such that for every object x of C there is a unique morphism f_x: x
---> e_x with e_x an object of E
so that the following conditions are satisfied: (1) if x is in E then
f_x = 1_x (the identity morphism
of x), (2) if s: x ---> y is in S then e_y = e_x and f_x = f_y s.
Hasn't this simple situation been named and incorporated in some
publication on category
theory? A reference would be most appreciated.
Ellis D. Cooper
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2009-12-04 17:26 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-12-04 17:26 Ellis D. Cooper [this message]
2009-12-07 15:37 ` Prof. Peter Johnstone
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=E1NGecr-0006DH-E3@mailserv.mta.ca \
--to=xtalv1@netropolis.net \
--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).