Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 5, Number 1 (2003), 549-599.
A model category for the homotopy theory of concurrency
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.
Homology Homotopy Appl., Volume 5, Number 1 (2003), 549-599.
First available in Project Euclid: 13 February 2006
Permanent link to this document
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