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dc.contributor.author | Ricarte Moreno, Luis Alberto | es_ES |
dc.contributor.author | Romaguera Bonilla, Salvador | es_ES |
dc.date.accessioned | 2015-10-07T11:18:25Z | |
dc.date.available | 2015-10-07T11:18:25Z | |
dc.date.issued | 2014-02 | |
dc.identifier.issn | 0166-8641 | |
dc.identifier.uri | http://hdl.handle.net/10251/55700 | |
dc.description.abstract | We introduce a partial order (sic)(M) on the set BX of formal balls of a fuzzy metric space (X, M, Lambda) in the sense of Kramosil and Michalek, and discuss some of its properties. We also characterize when the poset (BX, (sic)(M)) is a continuous domain by means of a new notion of fuzzy metric completeness introduced here. The well-known theorem of Edalat and Heckmann that a metric space is complete if and only if its poset of formal balls is a continuous domain, is deduced from our characterization | es_ES |
dc.description.sponsorship | Supported by the Ministry of Economy and Competitiveness of Spain, under grant MTM2012-37894-C02-01. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Topology and its Applications | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Fuzzy metric space | es_ES |
dc.subject | Formal ball | es_ES |
dc.subject | Poset | es_ES |
dc.subject | Continuous domain | es_ES |
dc.subject | Standard complete | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | A domain-theoretic approach to fuzzy metric spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.topol.2013.10.014 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-37894-C02-01/ES/METODOS TOPOLOGICOS EN HIPERESPACIOS Y MULTIFUNCIONES CONTRACTIVAS. CASI-METRICAS Y DOMINIOS CUANTITATIVOS/ | |
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 | Ricarte Moreno, LA.; Romaguera Bonilla, S. (2014). A domain-theoretic approach to fuzzy metric spaces. Topology and its Applications. 163:149-159. doi:10.1016/j.topol.2013.10.014 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.topol.2013.10.014 | es_ES |
dc.description.upvformatpinicio | 149 | es_ES |
dc.description.upvformatpfin | 159 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 163 | es_ES |
dc.relation.senia | 268503 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad; Instituto de Salud Carlos III; Centro de Investigación Biomédica en Red en Bioingeniería, Biomateriales y Nanomedicina | es_ES |