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arXiv · 1307.7994

The homology graph of a higher dimensional automaton

Thomas Kahl
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Abstract

Higher dimensional automata, i.e. labelled precubical sets, model concurrent systems. We introduce the homology graph of an HDA, which is a directed graph whose nodes are the homology classes of the HDA. We show that the homology graph is invariant under homeomorphic abstraction, i.e. under weak morphisms that are homeomorphisms.

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Thomas Kahl. 2013-07-30. The homology graph of a higher dimensional automaton. https://arxiv.org/abs/1307.7994

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