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Labeled homology of higher-dimensional automata

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Abstract

We construct labeling homomorphisms on the cubical homology of higher-dimensional automata and show that they are natural with respect to cubical dimaps and compatible with the tensor product of HDAs. We also indicate two possible applications of labeled homology in concurrency theory.

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Correspondence to Thomas Kahl.

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This research was financed by Portuguese funds through FCT - Fundação para a Ciência e a Tecnologia (project UID/MAT/00013/2013).

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Kahl, T. Labeled homology of higher-dimensional automata. J Appl. and Comput. Topology 2, 271–300 (2018). https://doi.org/10.1007/s41468-019-00023-0

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  • DOI: https://doi.org/10.1007/s41468-019-00023-0

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