Geodesic
Path categories and resolutions
Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 231-244.

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

Path categories are defined, and their basic properties are described, for simplicial and cubical sets. A calculational method for describing the path category $P(K)$ of a finite oriented simplicial complex $K$ is introduced, which involves a finite $2$-category which can be specified by generators and relations. This method specializes to higher dimensional automata via the triangulation functor from cubical to simplicial sets, and leads to calculations of their associated execution paths.
DOI : 10.4310/HHA.2010.v12.n2.a8
Classification : 18D05, 55U10, 68Q85
Keywords: path category, 2-category, resolutions, higher dimensional automata 
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     title = {Path categories and resolutions},
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J.F. Jardine. Path categories and resolutions. Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 231-244. doi : 10.4310/HHA.2010.v12.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n2.a8/

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