preprint : About the globular homology of higher dimensional automata (new version)

Bonjour, A new version of "About the globular homology of higher dimensional automata" is available at http://www-irma.u-strasbg.fr/~gaucher/sglob.ps.gz http://www-irma.u-strasbg.fr/~gaucher/sglob.pdf Abstract : We introduce a new simplicial nerve of higher dimensional automata whose simplicial homology groups shifted by one yield a new definition of the globular homology. With this new definition, the drawbacks noticed with the construction of \cite{Gau} 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. Comment : revised and augmented version