Open Access
2014 The homology graph of a precubical set
Thomas Kahl
Homology Homotopy Appl. 16(1): 119-138 (2014).

Abstract

Precubical sets are used to model concurrent systems. We introduce the homology graph of a precubical set, which is a directed graph whose nodes are the homology classes of the precubical set. We show that the homology graph is invariant under weak morphisms that are homeomorphisms.

Citation

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Thomas Kahl. "The homology graph of a precubical set." Homology Homotopy Appl. 16 (1) 119 - 138, 2014.

Information

Published: 2014
First available in Project Euclid: 3 June 2014

zbMATH: 1287.55005
MathSciNet: MR3192767

Subjects:
Primary: 55N99 , 55U10 , 68Q45 , 68Q85

Keywords: directed homology , higher dimensional automata , homeomorphic abstraction , homology graph , precubical set

Rights: Copyright © 2014 International Press of Boston

Vol.16 • No. 1 • 2014
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