Geodesic
A model category for the homotopy theory of concurrency
Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 549-599.

Voir la notice de l'article provenant de la source International Press of Boston

We construct a cofibrantly generated model structure on the category of flows such that any flow is fibrant and such that two cofibrant flows are homotopy equivalent for this model structure if and only if they are S-homotopy equivalent. This result provides an interpretation of the notion of S-homotopy equivalence in the framework of model categories.
DOI : 10.4310/HHA.2003.v5.n1.a20
Classification : 55Pxx, 68Q85
Keywords: concurrency, higher dimensional automaton, homotopy, closed monoidal structure, cofibration, compactly generated topological space, cofibrantly generated model category 
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Philippe Gaucher. A model category for the homotopy theory of concurrency. Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 549-599. doi : 10.4310/HHA.2003.v5.n1.a20. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n1.a20/

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