About the globular homology of higher dimensional automata

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We introduce a new simplicial nerve of higher dimensional automata whose homology groups yield a new definition of the globular homology. With this new definition, the drawbacks noticed with the construction of math.CT/9902151 disappear. Moreover the important morphisms which associate to every globe its corresponding branching area and merging area of execution paths become morphisms of simplicial sets.
44 pages ; LaTeX2e, 1 figure ; final version to appear in CTGDC

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Category Theory, Other Computer Science, Algebraic Topology, 55U10; 18G35

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http://salesiana.dossiersoluciones.com/handle/123456789/58761

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002216
 http://arxiv.org/abs/math/0002216
 Cahiers de Topologie et Geometrie Differentielle Categoriques, p.107-156, vol XLIII-2 (2002)

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arXiv