From: John Kennison <JKennison@clarku.edu>
To: Fred Linton <flinton@wesleyan.edu>, <categories@mta.ca>
Subject: Re: question
Date: Tue, 22 Sep 2009 08:26:43 -0400 [thread overview]
Message-ID: <E1MqFmx-0007Vh-P4@mailserv.mta.ca> (raw)
My understanding of this ancient terminology ids that a replete subcategory is one that is closed under the forming of isomorphic copies.A subcategory which contains an isomorphic copy of every object in the containing category is called skeletal
A subcategory ois both replete and skeletal if and only if it contains all objects of the larger category.
---John
On 9/22/09 3:04 AM, "Fred Linton" <flinton@wesleyan.edu> wrote:
Jim Stasheff asked,
> What do you call it when you have one (small) category being a (full)
> subcategory of another, and every object in the big category is
> isomorphic to one in the small category ? ...
One adjective that *had* been used for such a subcategory
(whether small, or full, or not) was "replete". I'll defer
to others on the question of whether that terminology is
still in use today, or is ... um ... *deprecated* :-) .
Cheers, -- Fred
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2009-09-22 12:26 UTC|newest]
Thread overview: 14+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-09-22 12:26 John Kennison [this message]
-- strict thread matches above, loose matches on Subject: below --
2009-09-23 14:17 question John Kennison
2009-09-23 10:00 question Prof. Peter Johnstone
2009-09-22 11:56 question Robin Adams
2009-09-22 7:04 question Fred Linton
2009-09-22 2:14 question Ross Street
2009-09-21 14:54 question Rory Lucyshyn-Wright
2009-09-20 13:21 question jim stasheff
2001-01-26 11:32 Question S.J.Vickers
2001-01-23 22:33 Question Michael J. Healy 425-865-3123
2001-01-17 0:17 Question Michael J. Healy 425-865-3123
2001-01-17 4:29 ` Question Joseph R. Kiniry
2001-01-23 5:55 ` Question Dusko Pavlovic
2000-05-31 2:08 question adrian duma
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