Homotopy invariants of higher dimensional categories and concurrency in computer science

    Abstract

    The strict globular ω-categories formalize the execution paths of a parallel automaton and the homotopies between them. One associates to such (and any) ω-category C three homology theories. The first one is called the globular homology. It contains the oriented loops of C. The two other ones are called the negative (respectively, positive) corner homology… (More)

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