About the globular homology of higher dimensional automata

Details About the globular homology of higher dimensional automata About the globular homology of higher dimensional automata

2000-02-25

arxiv.org/abs/math/0002216v5

Cahiers de Topologie et Geometrie Differentielle Categoriques, p.107-156, vol XLIII-2 (2002)

Mathematics

Category Theory

44 pages ; LaTeX2e, 1 figure ; final version to appear in CTGDC

Scientific paper

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.

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