Homology, Homotopy and Applications

A model category for the homotopy theory of concurrency

Philippe Gaucher

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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.

Article information

Homology Homotopy Appl., Volume 5, Number 1 (2003), 549-599.

First available in Project Euclid: 13 February 2006

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55U35: Abstract and axiomatic homotopy theory
Secondary: 55P99: None of the above, but in this section 68Q85: Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)


Gaucher, Philippe. A model category for the homotopy theory of concurrency. Homology Homotopy Appl. 5 (2003), no. 1, 549--599. https://projecteuclid.org/euclid.hha/1139839943

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