From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5155 Path: news.gmane.org!not-for-mail From: jim stasheff Newsgroups: gmane.science.mathematics.categories Subject: question Date: Sun, 20 Sep 2009 09:21:13 -0400 Message-ID: Reply-To: jim stasheff NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1253541383 12941 80.91.229.12 (21 Sep 2009 13:56:23 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Mon, 21 Sep 2009 13:56:23 +0000 (UTC) To: Categories list Original-X-From: categories@mta.ca Mon Sep 21 15:56:16 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 1MpjNH-00034O-M8 for gsmc-categories@m.gmane.org; Mon, 21 Sep 2009 15:56:15 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1Mpimk-0003jB-F4 for categories-list@mta.ca; Mon, 21 Sep 2009 10:18:30 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5155 Archived-At: 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 ? This is the case for the category given by objects hom(S,A) ,and morphisms given by the equivalence relation hom(T,A) ,as a subcategory of stack(A) . Is there an equivalence of categories ? jim [For admin and other information see: http://www.mta.ca/~cat-dist/ ]