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Some classes of bounded sets in metric spaces

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dc.book.titleContribuciones matemáticas en honor a Juan Tarrés
dc.contributor.authorGarrido, M. Isabel
dc.contributor.authorMeroño, Ana S.
dc.date.accessioned2023-06-20T05:44:33Z
dc.date.available2023-06-20T05:44:33Z
dc.date.issued2012
dc.description.abstractThis note deals with some classes of bounded subsets in a metric space. Namely, sets of finite diameter, totally-bounded sets and the so-called Bourbaki-bounded sets. We will see some good and some bad properties of each class, as well as their relationships. A more detailed study about Bourbaki-boundedness is also presented. Finally a new property of completeness in metric spaces is introduced, which we call Bourbaki-completeness.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipMICINN
dc.description.sponsorshipFundación Caja-Madrid
dc.description.sponsorshipUCM
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17374
dc.identifier.isbn978-84-695-4421-1
dc.identifier.relatedurlhttp://cisne.sim.ucm.es/record=b3232194~S6*spi
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45365
dc.language.isospa
dc.page.final186
dc.page.initial179
dc.page.total0
dc.publication.placeMadrid
dc.publisherUCM
dc.relation.projectIDMTM2009-07848
dc.relation.projectIDBecas 2011-2012
dc.relation.projectIDGR35/10-A
dc.rights.accessRightsrestricted access
dc.subject.cdu514
dc.subject.cdu515.1
dc.subject.keywordMetric-bounded
dc.subject.keywordTotally bounded
dc.subject.keywordBourbaki-bounded
dc.subject.keywordBourbaki-complete
dc.subject.ucmGeometría
dc.subject.ucmTopología
dc.subject.unesco1204 Geometría
dc.subject.unesco1210 Topología
dc.titleSome classes of bounded sets in metric spaces
dc.typebook part
dspace.entity.typePublication

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