From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5165 Path: news.gmane.org!not-for-mail From: John Kennison Newsgroups: gmane.science.mathematics.categories Subject: Re: question Date: Tue, 22 Sep 2009 08:26:43 -0400 Message-ID: Reply-To: John Kennison NNTP-Posting-Host: lo.gmane.org Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1253668025 9606 80.91.229.12 (23 Sep 2009 01:07:05 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 23 Sep 2009 01:07:05 +0000 (UTC) To: Fred Linton , Original-X-From: categories@mta.ca Wed Sep 23 03:06:58 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1MqGJt-0001Jl-2O for gsmc-categories@m.gmane.org; Wed, 23 Sep 2009 03:06:57 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1MqFmx-0007Vh-P4 for categories-list@mta.ca; Tue, 22 Sep 2009 21:32:55 -0300 Content-Language: en Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5165 Archived-At: 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 catego= ry 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" 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/ ]