A model category for the homotopy theory of concurrency

Details A model category for the homotopy theory of concurrency A model category for the homotopy theory of concurrency

2003-08-06

arxiv.org/abs/math/0308054v2

Homology Homotopy and Applications, vol. 5 (1):p.549-599, 2003

Mathematics

Algebraic Topology

45 pages ; 4 figure ; First paper corresponding to the content of math.AT/0201252 ; final version

Scientific paper

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.

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