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About the globular homology of higher dimensional automata

Philippe Gaucher
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Abstract

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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Philippe Gaucher. 2001-05-23. About the globular homology of higher dimensional automata. https://arxiv.org/abs/math/0002216

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