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categories: 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