Balleans, hyperballeans and ideals

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dc.contributor.authorDikranjan, Dikranes_ES
dc.contributor.authorProtasov, Igores_ES
dc.contributor.authorProtasova, Kseniaes_ES
dc.contributor.authorZava, Nicolòes_ES
dc.contributor.funderUniversità degli Studi di Udine, Italia
dc.date.accessioned2019-10-03T07:51:59Z
dc.date.available2019-10-03T07:51:59Z
dc.date.issued2019-10-01
dc.date.updated2019-10-03T06:47:05Z
dc.description.abstract[EN] A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or entourages of the diagonal in X × X) dened in such a way that B can be considered as the asymptotic counterpart of a uniform topological space. The aim of this paper is to study two concrete balleans dened by the ideals in the Boolean algebra of all subsets of X and their hyperballeans, with particular emphasis on their connectedness structure, more specically the number of their connected components.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationDikranjan, D.; Protasov, I.; Protasova, K.; Zava, N. (2019). Balleans, hyperballeans and ideals. Applied General Topology. 20(2):431-447. https://doi.org/10.4995/agt.2019.11645es_ES
dc.description.issue2
dc.description.referencesT. Banakh, I. Protasov, D. Repovs and S. Slobodianiuk, Classifying homogeneous cellular ordinal balleans up to coarse equivalence, arxiv: 1409.3910v2.es_ES
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dc.description.sponsorshipThe first named author thankfully acknowledges partial financial support via the grant PRID at the Department of Mathematical,Computer and Physical Sciences, Udine University.es_ES
dc.description.upvformatpfin447es_ES
dc.description.upvformatpinicio431es_ES
dc.description.volume20
dc.identifier.doi10.4995/agt.2019.11645
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/127140
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2019.11645es_ES
dc.relation.references10.4171/GGD/145es_ES
dc.relation.references10.1016/j.topol.2017.04.011es_ES
dc.relation.references10.1016/j.topol.2017.02.008es_ES
dc.relation.references10.1556/SScMath.42.2005.2.7es_ES
dc.relation.references10.1007/s11253-012-0653-xes_ES
dc.relation.references10.1090/ulect/031es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectBalleanses_ES
dc.subjectCoarse structurees_ES
dc.subjectCoarse mapes_ES
dc.subjectAsymorphismes_ES
dc.subjectBalleans defined by idealses_ES
dc.subjectHyperballeanses_ES
dc.titleBalleans, hyperballeans and idealses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid2140dd56-a692-4401-ba5a-e3df52ff728aes_ES

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Applied General Topology - Vol 20, No 2 (2019)