From: Philippe Gaucher <gaucher@math.u-strasbg.fr>
To: categories@mta.ca
Subject: preprint : A long exact sequence for the branching homology
Date: Tue, 13 May 2003 09:44:15 +0200 (MEST) [thread overview]
Message-ID: <200305130744.h4D7iFC14111@math.u-strasbg.fr> (raw)
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
reply other threads:[~2003-05-13 7:44 UTC|newest]
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