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On the construction of domains of formal balls for uniform spaces

dc.contributor.authorRomaguera, S.
dc.contributor.authorSánchez Granero, M. A.
dc.contributor.authorSanchis López, Manuel
dc.date.accessioned2015-06-30T09:01:55Z
dc.date.available2015-06-30T09:01:55Z
dc.date.issued2014-05
dc.identifier.citationROMAGUERA, S.; SÁNCHEZ-GRANERO, M. A.; SANCHIS, M. On the construction of domains of formal balls for uniform spaces. Topology and its Applications, 2014, 168: 125-134.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/125406
dc.description.abstractIn the spirit of the well-known constructions of Edalat and Heckmann for metric spaces, we endow the set of formal (closed) balls of a given uniform space with a structure of poset and prove several of its properties, which extend to the uniform framework the corresponding ones of metric spaces. In particular, to show under what conditions this poset is a dcpo we introduce and discuss a weak notion of uniform completeness. Some illustrative examples are also given.ca_CA
dc.format.extent9 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.relation.isPartOfTopology and its Applications Volume 168, 15 May 2014ca_CA
dc.rightsCopyright © 2014 Elsevier B.V. All rights reserved.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectuniform spaceca_CA
dc.subjectformal ballca_CA
dc.subjectweakly completeca_CA
dc.subjectcontinuous posetca_CA
dc.subjectweightable quasi-uniform structureca_CA
dc.titleOn the construction of domains of formal balls for uniform spacesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1016/j.topol.2014.02.015
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0166864114000753ca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersion


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