A model category for local po-spaces

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

Full description

Saved in:
Bibliographic Details
Main Authors Bubenik, Peter, Worytkiewicz, Krzysztof
Format Journal Article
LanguageEnglish
Published 17.06.2005
Subjects
Mathematics - Algebraic Topology
Mathematics - Category Theory
Online AccessGet full text

Cover

More Information
Summary:Homology, Homotopy Appl. 8 (2006), no. 1, 263-292 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.
DOI:10.48550/arxiv.math/0506352