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Spaces of directed paths on pre-cubical sets

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dc.abstract.enThe spaces of directed paths on the geometric realizations of pre-cubical sets, called also □-sets, can be interpreted as the spaces of possible executions of Higher Dimensional Automata, which are models for concurrent computations. In this paper we construct, for a sufficiently good pre-cubical set K, a CW-complex W(K)wv that is homotopy equivalent to the space of directed paths between given vertices v, w of K. This construction is functorial with respect to K, and minimal among all functorial constructions. Furthermore, explicit formulas for incidence numbers of the cells of W(K)wv are provided.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorZiemiański, Krzysztof
dc.date.accessioned2024-01-26T07:53:27Z
dc.date.available2024-01-26T07:53:27Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.description.number6
dc.description.volume28
dc.identifier.doi10.1007/S00200-017-0316-0
dc.identifier.issn0938-1279
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/120248
dc.identifier.weblinkhttp://dx.doi.org/10.1007/s00200-017-0316-0
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofApplicable Algebra in Engineering, Communications and Computing
dc.relation.pages497–525
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleSpaces of directed paths on pre-cubical sets
dc.typeJournalArticle
dspace.entity.typePublication