From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6014 Path: news.gmane.org!not-for-mail From: Andrej Bauer Newsgroups: gmane.science.mathematics.categories Subject: What else do simplicial sets classify? Date: Sat, 31 Jul 2010 09:55:57 +0200 Message-ID: Reply-To: Andrej Bauer NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 X-Trace: dough.gmane.org 1280613446 2176 80.91.229.12 (31 Jul 2010 21:57:26 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sat, 31 Jul 2010 21:57:26 +0000 (UTC) To: categories list Original-X-From: majordomo@mlist.mta.ca Sat Jul 31 23:57:25 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.139]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1OfK3Z-0002XT-29 for gsmc-categories@m.gmane.org; Sat, 31 Jul 2010 23:57:25 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:42957) by smtpy.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1OfK1S-0005iq-Uu; Sat, 31 Jul 2010 18:55:15 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1OfK1M-0001vZ-7t for categories-list@mlist.mta.ca; Sat, 31 Jul 2010 18:55:08 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6014 Archived-At: The presheaf category of simplicial sets is the classifying topos for the theory L of a bounded linear order. In general, there could be other theories which are "Morita equivalent" to L in the sense that their classifying toposes are equivalent to simplicial sets. Are any such known, preferably occurring in nature? With kind regards, Andrej [For admin and other information see: http://www.mta.ca/~cat-dist/ ]