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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 |
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dc.description.references | I. Protasov and K. Protasova, Lattices of coarse structures, Math. Stud. 48 (2017),115-123. | es_ES |
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dc.description.references | J. Roe, Lectures on Coarse Geometry, AMS University Lecture Ser. 31, Providence, RI,2003.cAGT, | es_ES |