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Cofinal bicompleteness and quasi-metrizability

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Cofinal bicompleteness and quasi-metrizability

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dc.contributor.author Pérez Peñalver, María José es_ES
dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.date.accessioned 2018-09-17T06:53:00Z
dc.date.available 2018-09-17T06:53:00Z
dc.date.issued 1999 es_ES
dc.identifier.issn 0049-4704 es_ES
dc.identifier.uri http://hdl.handle.net/10251/107328
dc.description.abstract [EN] We introduce the notions of a cofinally bicomplete quasi-uniformity and of a cofinally bicomplete quasi-pseudometric. The Sorgenfrey quasi-metric and the Kofner quasi-metric are interesting examples of cofinally bicomplete quasi-metrics. We observe that the finest quasi-uniformity of any quasi-pseudometrizable bitopological space is cofinally bicomplete and characterize those quasi-pseudometrizable bitopological spaces which admit a cofinally bicomplete quasi-pseudometric. Anecessary and sufficient condition for cofinal bicompleteness of quasi-pseudometrizable topological spaces is derived. Finally, bitopological quasi-metrizable spaces whose supremum topology is locally compact are characterized. es_ES
dc.description.sponsorship The second author acknowledges the support of the DGES, under grant PB95-0737
dc.language Inglés es_ES
dc.publisher UNIVERSITA DEGLI STUDI DI TRIESTE es_ES
dc.relation DGES-95/PB95-0737 es_ES
dc.relation.ispartof RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITA DI TRIESTE es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Cofinal bicompleteness and quasi-metrizability es_ES
dc.type Artículo es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Pérez Peñalver, MJ.; Romaguera Bonilla, S. (1999). Cofinal bicompleteness and quasi-metrizability. RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITA DI TRIESTE. 30(Supl):165-172. http://hdl.handle.net/10251/107328 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://rendiconti.dmi.units.it/ es_ES
dc.description.upvformatpinicio 165 es_ES
dc.description.upvformatpfin 172 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 30 es_ES
dc.description.issue Supl es_ES
dc.relation.pasarela 17455 es_ES
dc.contributor.funder DGES-95 es_ES


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