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2005 Homological properties of non-deterministic branchings of mergings in higher dimensional automata
Philippe Gaucher
Homology Homotopy Appl. 7(1): 51-76 (2005).

Abstract

The branching (resp. merging) space functor of a flow is a left Quillen functor. The associated derived functor allows to define the branching (resp. merging) homology of a flow. It is then proved that this homology theory is a dihomotopy invariant and that higher dimensional branchings (resp. mergings) satisfy a long exact sequence.

Citation

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Philippe Gaucher. "Homological properties of non-deterministic branchings of mergings in higher dimensional automata." Homology Homotopy Appl. 7 (1) 51 - 76, 2005.

Information

Published: 2005
First available in Project Euclid: 13 February 2006

zbMATH: 1085.55003
MathSciNet: MR2138350

Subjects:
Primary: 55N35
Secondary: 55P99, 68Q70, 68Q85

Rights: Copyright © 2005 International Press of Boston

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