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Weightable quasi-uniformities

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Weightable quasi-uniformities

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dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.contributor.author Kuenzi, H. -P. A. es_ES
dc.date.accessioned 2013-07-05T09:00:18Z
dc.date.issued 2012
dc.identifier.issn 0236-5294
dc.identifier.uri http://hdl.handle.net/10251/30665
dc.description.abstract [EN] The authors study quasi-uniformities that are generated by a family of weightable quasi-pseudometrics. Each totally bounded quasi-uniformity is of this kind. In some sense, which is described in this article, a weightable quasi-uniformity is fairly symmetric, with the associated weights generating small symmetrizers. In the second part of the article we continue our investigations by generalizing a subclass of weightable quasi-uniformities to a more abstract level. We introduce the concept of a t-symmetrizable quasi-uniformity, that is, a quasi-uniformity possessing the property that there exists a totally bounded quasi-uniformity such that is a uniformity. It turns out that t-symmetrizable quasi-uniformities are closely related to quasi-uniformities generated by weightable quasi-pseudometrics possessing bounded weight functions. We show that several results that were originally proved for weightable quasi-pseudometrics (with bounded weights) still hold in a such apparently broader context. es_ES
dc.description.sponsorship The first author would like to thank the South African National Research Foundation for partial financial support. The second author thanks the support of the Spanish Ministry of Science and Innovation, grant MTM2009-12872-C02-01. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag es_ES
dc.relation.ispartof Acta Mathematica Hungarica es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weightable quasi-pseudometric es_ES
dc.subject Weightable quasi-uniformity es_ES
dc.subject T-symmetrizable quasi-uniformity es_ES
dc.subject Wijsman quasi-pseudometric es_ES
dc.subject Totally bounded es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Weightable quasi-uniformities es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1007/s10474-012-0213-8
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-12872-C02-01/ES/Construccion De Casi-Metricas Fuzzy, De Distancias De Complejidad Y De Dominios Cuantitativos. Aplicaciones/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Romaguera Bonilla, S.; Kuenzi, H-A. (2012). Weightable quasi-uniformities. Acta Mathematica Hungarica. 136:107-128. https://doi.org/10.1007/s10474-012-0213-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s10474-012-0213-8 es_ES
dc.description.upvformatpinicio 107 es_ES
dc.description.upvformatpfin 128 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 136 es_ES
dc.relation.senia 229745
dc.identifier.eissn 1588-2632
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder National Research Foundation, South Africa es_ES
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