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Homological properties of non-deterministic branchings and mergings in higher dimensional automata

Philippe Gaucher
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Abstract

The branching (resp. merging) space functor of a flow is a left Quillen functor. The associated derived functor allows to define the branching (resp. merging) homology of a flow. It is then proved that this homology theory is a dihomotopy invariant and that higher dimensional branchings (resp. mergings) satisfy a long exact sequence.

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Philippe Gaucher. 2003-05-12. Homological properties of non-deterministic branchings and mergings in higher dimensional automata. https://doi.org/10.4310/hha.2005.v7.n1.a4

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