From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2278 Path: news.gmane.org!not-for-mail From: Philippe Gaucher Newsgroups: gmane.science.mathematics.categories Subject: preprint : A long exact sequence for the branching homology Date: Tue, 13 May 2003 09:44:15 +0200 (MEST) Message-ID: <200305130744.h4D7iFC14111@math.u-strasbg.fr> Reply-To: Philippe Gaucher NNTP-Posting-Host: main.gmane.org Content-Type: text X-Trace: ger.gmane.org 1241018545 3366 80.91.229.2 (29 Apr 2009 15:22:25 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:22:25 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Tue May 13 16:31:07 2003 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Tue, 13 May 2003 16:31:07 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 19FfS9-0003Fy-00 for categories-list@mta.ca; Tue, 13 May 2003 16:28:45 -0300 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4.2 SunOS 5.8 sun4u sparc X-Sun-Text-Type: ascii X-Antivirus: scanned by sophos at u-strasbg.fr Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 13 Original-Lines: 19 Xref: news.gmane.org gmane.science.mathematics.categories:2278 Archived-At: Author : Philippe Gaucher Title : A long exact sequence for the branching homology Abstract : A function complex is introduced on the category of flows so that the model category of flows becomes a simplicial model category. This allows us to show that the homotopy branching space of the cone of a morphism of flows is homotopy equivalent to the cone of its image by the homotopy branching space functor. The crux of the proof is that the homotopy branching space of the terminal flow is contractible. We then easily deduce a long exact sequence for the branching homology of a flow. Url : http://www-irma.u-strasbg.fr/~gaucher/ or Arxiv : math.AT/0305169