The closures of arithmetic progressions in the common division topology on the set of positive integers

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dc.contributor.authorSzczuka, Paulina
dc.date.accessioned2015-09-18T11:03:44Z
dc.date.available2015-09-18T11:03:44Z
dc.date.issued2014
dc.description.abstractIn this paper we characterize the closures of arithmetic progressions in the topology T on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that if the prime number p is a factor of a, then it is also a factor of b. The topology T is called the common division topology.en_US
dc.identifier.citationOpen Mathematics 2014, Volume 12, Issue 7, Pages 1008–1014en_US
dc.identifier.urihttp://repozytorium.ukw.edu.pl/handle/item/1867
dc.language.isoenen_US
dc.publisherDe Gruyter Openen_US
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.subjectThe common division topologyen_US
dc.subjectClosuresen_US
dc.subjectArithmetic progressionsen_US
dc.titleThe closures of arithmetic progressions in the common division topology on the set of positive integersen_US
dc.typeArticleen_US

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