A model category for local po-spaces

Details A model category for local po-spaces A model category for local po-spaces

2005-06-17

arxiv.org/abs/math/0506352v2

Homology, Homotopy Appl. 8 (2006), no. 1, 263-292

Mathematics

Algebraic Topology

26 pages, minor changes, to appear in Homology, Homotopy and Applications

Scientific paper

Locally partial-ordered spaces (local po-spaces) have been used to model concurrent systems. We provide equivalences for these spaces by constructing a model category containing the category of local po-spaces. We show the category of simplicial presheaves on local po-spaces can be given Jardine's model structure, in which we identify the weak equivalences between local po-spaces. In the process we give an equivalence between the category of sheaves on a local po-space and the category of etale bundles over a local po-space. Finally we describe a localization that should provide a good framework for studying concurrent systems.

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