Subject: categories: preprint: Flow does not model flows up to weak dihomotopy

From: Philippe Gaucher <[email-masked]>
Date: Mon, 19 Apr 2004 07:49:37 +0200 (CEST)

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.