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Two classes of metric spaces

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Two classes of metric spaces

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dc.contributor.author Garrido, Isabel es_ES
dc.contributor.author Meroño, Ana S. es_ES
dc.date.accessioned 2016-10-20T08:23:55Z
dc.date.available 2016-10-20T08:23:55Z
dc.date.issued 2016-04-12
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/72370
dc.description.abstract [EN] The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X. On the other hand, B-simple metric spaces introduced by Hejcman are defined in terms of some kind of bornologies of bounded subsets of X. In this note we present a common framework where both classes of metric spaces can be studied which allows us to see not only the relationships between them but also to obtain new internal characterizations of these metric properties. es_ES
dc.description.sponsorship Partially supported by MINECO Project MTM2012-34341 (Spain)
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 Metric spaces es_ES
dc.subject Real-valued uniformly continuous functions es_ES
dc.subject Real-valued Lipschitz functions es_ES
dc.subject Bornologies es_ES
dc.subject Bourbaki-boundedness es_ES
dc.subject Countable uniform partitions es_ES
dc.subject Small-determined spaces es_ES
dc.subject B-simple spaces es_ES
dc.title Two classes of metric spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2016-10-20T07:36:12Z
dc.identifier.doi 10.4995/agt.2016.4401
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-34341/ES/ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICO/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Garrido, I.; Meroño, AS. (2016). Two classes of metric spaces. Applied General Topology. 17(1):57-70. https://doi.org/10.4995/agt.2016.4401 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2016.4401 es_ES
dc.description.upvformatpinicio 57 es_ES
dc.description.upvformatpfin 70 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 17
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder Ministerio de Economía y Competitividad
dc.description.references Atsuji, M. (1958). Uniform continuity of continuous functions of metric spaces. Pacific Journal of Mathematics, 8(1), 11-16. doi:10.2140/pjm.1958.8.11 es_ES
dc.description.references Garrido, M. I., & Jaramillo, J. A. (2008). Lipschitz-type functions on metric spaces. Journal of Mathematical Analysis and Applications, 340(1), 282-290. doi:10.1016/j.jmaa.2007.08.028 es_ES
dc.description.references Urbanec, J., Kopecký, J., & Kajfosz, J. (1959). РАДИАЦИОННЫЙ ЗАХВАТ МЕДЛЕННЫХ НЕЙТРОНОВ ЯДРАМИ АТОМОВ. Czechoslovak Journal of Physics, 9(5), 544-551. doi:10.1007/bf01556943 es_ES
dc.description.references Levy, R., & Rice, M. D. (1986). Techniques and examples in U-embedding. Topology and its Applications, 22(2), 157-174. doi:10.1016/0166-8641(86)90006-4 es_ES


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