From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2655 Path: news.gmane.org!not-for-mail From: Philippe Gaucher Newsgroups: gmane.science.mathematics.categories Subject: preprint: Flow does not model flows up to weak dihomotopy Date: Mon, 19 Apr 2004 07:49:37 +0200 (CEST) Message-ID: <20040419074828.Q32510-100000@helium.pps.jussieu.fr> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241018810 5181 80.91.229.2 (29 Apr 2009 15:26:50 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:26:50 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Mon Apr 19 11:48:49 2004 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Mon, 19 Apr 2004 11:48:49 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 1BFa26-0003Dv-00 for categories-list@mta.ca; Mon, 19 Apr 2004 11:46:02 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 33 Original-Lines: 18 Xref: news.gmane.org gmane.science.mathematics.categories:2655 Archived-At: Title: Flow does not model flows up to weak dihomotopy Abstract: We prove that the category of flows cannot be the underlying category of a model category whose corresponding homotopy types are the flows up to weak dihomotopy. Some hints are given to overcome this problem. In particular, a new approach of dihomotopy involving simplicial presheaves over an appropriate small category is proposed. This small category is obtained by taking a full subcategory of a locally presentable version of the category of flows. Comments: 16pages, 3 figures Url: http://www.pps.jussieu.fr/~gaucher/ and ArXiv.