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Extremal balleans

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Extremal balleans

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dc.contributor.author Protasov, Igor es_ES
dc.date.accessioned 2019-04-04T10:29:43Z
dc.date.available 2019-04-04T10:29:43Z
dc.date.issued 2019-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/118978
dc.description.abstract [EN] A ballean (or coarse space) is a set endowed with a coarse structure. A ballean X is called normal if any two asymptotically disjoint subsets of X are asymptotically separated. We say that a ballean X is ultra-normal (extremely normal) if any two unbounded subsets of X are not asymptotically disjoint (every unbounded subset of X is large). Every maximal ballean is extremely normal and every extremely normal ballean is ultranormal, but the converse statements do not hold. A normal ballean is ultranormal if and only if the Higson′s corona of X is a singleton. A discrete ballean X is ultranormal if and only if X is maximal. We construct a series of concrete balleans with extremal properties. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Ballean es_ES
dc.subject Coarse structure es_ES
dc.subject Bornology es_ES
dc.subject Maximal ballean es_ES
dc.subject Ultranormal ballean es_ES
dc.subject Extremely normal ballean es_ES
dc.title Extremal balleans es_ES
dc.type Artículo es_ES
dc.date.updated 2019-04-04T06:30:20Z
dc.identifier.doi 10.4995/agt.2019.11260
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Protasov, I. (2019). Extremal balleans. Applied General Topology. 20(1):297-305. https://doi.org/10.4995/agt.2019.11260 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.11260 es_ES
dc.description.upvformatpinicio 297 es_ES
dc.description.upvformatpfin 305 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references T. Banakh and I. Protasov, The normality and bounded growth of balleans, arXiv:1810.07979. es_ES
dc.description.references T. Banakh and I. Protasov, Constructing balleans, arXiv: 1812.03935. es_ES
dc.description.references D. Dikranjan, I. Protasov, K. Protasova and N. Zava, Balleans, hyperballeans and ideals, Appl. Gen. Topol, to appear. es_ES
dc.description.references M. Filali and I. Protasov, Slowly oscillating functions on locally compact groups, Appl.Gen. Topology 6 (2005), 67-77. es_ES
dc.description.references Ie. Lutsenko and I. Protasov, Thin subsets of balleans, Appl. Gen. Topol. 11 (2010), 89-93. es_ES
dc.description.references O. V. Petrenko and I. V. Protasov, Balleans and G-spaces, Ukr. Math. Zh. 64 (2012) ,344-350. es_ES
dc.description.references I. V. Protasov, Normal ball structures, Math. Stud. 20 (2003), 3-16. es_ES
dc.description.references I. V. Protasov, Coronas of balleans, Topology Appl. 149 (2005), 149-160. https://doi.org/10.1016/j.topol.2004.09.005 es_ES
dc.description.references I. V. Protasov, Asymptolic proximities, Appl. Gen. Topol. 9 (2008), 189-195. es_ES
dc.description.references I. Protasov and T. Banakh, Ball Structures and Colorings of Groups and Graphs, Math.Stud. Monogr. Ser., Vol. 11, VNTL, Lviv, 2003. es_ES
dc.description.references I. Protasov and K. Protasova, Lattices of coarse structures, Math. Stud. 48 (2017),115-123. es_ES
dc.description.references I. Protasov and M. Zarichnyi, General Asymptopogy, Math. Stud. Monogr. Vol. 12,VNTL, Lviv, 2007. es_ES
dc.description.references O. Protasova, Maximal balleans, Appl. Gen. Topol. 7 (2006), 151-163. es_ES
dc.description.references J. Roe, Lectures on Coarse Geometry, AMS University Lecture Ser. 31, Providence, RI,2003.cAGT, es_ES


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