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Flow does not model flows up to weak dihomotopy

Philippe Gaucher
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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.

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Philippe Gaucher. 2006-01-19. Flow does not model flows up to weak dihomotopy. https://doi.org/10.1007/s10485-005-8176-3

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