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2010 Path categories and resolutions
J.F. Jardine
Homology Homotopy Appl. 12(2): 231-244 (2010).

Abstract

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.

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J.F. Jardine. "Path categories and resolutions." Homology Homotopy Appl. 12 (2) 231 - 244, 2010.

Information

Published: 2010
First available in Project Euclid: 28 January 2011

zbMATH: 1203.55010
MathSciNet: MR2771590

Subjects:
Primary: 18D05 , 55U10 , 68Q85

Keywords: 2-category , higher dimensional automata , Path category , resolutions

Rights: Copyright © 2010 International Press of Boston

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Vol.12 • No. 2 • 2010
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