Globular realization and cubical underlying homotopy type of time flow of process algebra

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dc.creatorGaucher, Philippe
dc.date2007-08-27
dc.date.accessioned2026-07-07T09:19:29Z
dc.date.available2026-07-07T09:19:29Z
dc.descriptionWe construct a small realization as flow of every precubical set (modeling for example a process algebra). The realization is small in the sense that the construction does not make use of any cofibrant replacement functor and of any transfinite construction. In particular, if the precubical set is finite, then the corresponding flow has a finite globular decomposition. Two applications are given. The first one presents a realization functor from precubical sets to globular complexes which is characterized up to a natural S-homotopy. The second one proves that, for such flows, the underlying homotopy type is naturally isomorphic to the homotopy type of the standard cubical complex associated with the precubical set.
dc.description31 pages, 1 figure, LaTeX2e
dc.identifierhttps://arxiv.org/abs/0708.3584
dc.identifierhttp://arxiv.org/abs/0708.3584
dc.identifierNew-York Journal of Mathematics, vol. 14 : p. 101-137, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154410
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject55U35
dc.titleGlobular realization and cubical underlying homotopy type of time flow of process algebra
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