From: Philippe Gaucher <Philippe.Gaucher@pps.jussieu.fr>
To: categories@mta.ca
Subject: preprint: Flow does not model flows up to weak dihomotopy
Date: Mon, 19 Apr 2004 07:49:37 +0200 (CEST) [thread overview]
Message-ID: <20040419074828.Q32510-100000@helium.pps.jussieu.fr> (raw)
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.
reply other threads:[~2004-04-19 5:49 UTC|newest]
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