Geodesic
A model category for local po-spaces
Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 263-292.

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

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 that 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 étale bundles over a local po-space. Finally, we describe a localization that should provide a good framework for studying concurrent systems.
DOI : 10.4310/HHA.2006.v8.n1.a10
Classification : 18G55, 55U35, 68Q85, 18F20, 55U10
Keywords: local po-spaces (local pospaces), abstract homotopy theory, model categories, concurrency, simplicial presheaves, sheaves, étale bundles, directed homotopy (dihomotopy), context 
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     title = {A model category for local po-spaces},
     journal = {Homology, homotopy, and applications},
     pages = {263--292},
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     year = {2006},
     doi = {10.4310/HHA.2006.v8.n1.a10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n1.a10/}
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Peter Bubenik; Krzysztof Worytkiewicz. A model category for local po-spaces. Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 263-292. doi : 10.4310/HHA.2006.v8.n1.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n1.a10/

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