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* preprint: Flow does not model flows up to weak dihomotopy
@ 2004-04-19  5:49 Philippe Gaucher
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From: Philippe Gaucher @ 2004-04-19  5:49 UTC (permalink / raw)
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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.





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2004-04-19  5:49 preprint: Flow does not model flows up to weak dihomotopy Philippe Gaucher

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