From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1963 Path: news.gmane.org!not-for-mail From: rosicky@math.muni.cz (Jiri Rosicky) Newsgroups: gmane.science.mathematics.categories Subject: preprint: Left-determined model categories and universal homotopy theories Date: Tue, 15 May 2001 13:59:43 +0200 (CEST) Message-ID: <20010515115943.B22B982F7@queen.math.muni.cz> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241018235 1422 80.91.229.2 (29 Apr 2009 15:17:15 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:17:15 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Wed May 16 22:37:59 2001 -0300 Return-Path: Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.11.1/8.11.1) id f4H1FRk06043 for categories-list; Wed, 16 May 2001 22:15:27 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f X-Received: from zent.mta.ca (zent.mta.ca [138.73.101.4]) by mailserv.mta.ca (8.11.1/8.11.1) with SMTP id f4FB02b21889 for ; Tue, 15 May 2001 08:00:04 -0300 (ADT) X-Received: FROM queen.math.muni.cz BY zent.mta.ca ; Tue May 15 08:00:45 2001 -0300 X-Received: by queen.math.muni.cz (Postfix, from userid 23025) id B22B982F7; Tue, 15 May 2001 13:59:43 +0200 (CEST) X-Mailer: ELM [version 2.4ME+ PL69 (25)] Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 31 Original-Lines: 18 Xref: news.gmane.org gmane.science.mathematics.categories:1963 Archived-At: The following paper is available at http://www.math.yorku.ca/Who/Faculty/Tholen/research.html J.Rosicky and W.Tholen, Left-determined model categories and universal homotopy theories Abstract: We say that a model category is left-determined if the weak equivalences are generated (in a suitable sense) by the cofibrations. While the model category of simplicial sets is not left-determined, we show that its non-oriented variant, the category of symmetric simplicial sets (in the sense of Lawvere and Grandis) carries a natural left-determined model category structure. This is used to give another and, as we believe, simpler proof of a recent result of D. Dugger about universal homotopy theories.