About the globular homology of higher dimensional automata

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dc.creatorGaucher, Philippe
dc.date2000-02-25
dc.date2001-05-23
dc.date.accessioned2026-07-07T04:34:04Z
dc.date.available2026-07-07T04:34:04Z
dc.descriptionWe 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.
dc.description44 pages ; LaTeX2e, 1 figure ; final version to appear in CTGDC
dc.identifierhttps://arxiv.org/abs/math/0002216
dc.identifierhttp://arxiv.org/abs/math/0002216
dc.identifierCahiers de Topologie et Geometrie Differentielle Categoriques, p.107-156, vol XLIII-2 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58761
dc.subjectCategory Theory
dc.subjectOther Computer Science
dc.subjectAlgebraic Topology
dc.subject55U10; 18G35
dc.titleAbout the globular homology of higher dimensional automata
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