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  5. Extracta Mathematicae Vol. 19, nº 3 (2004)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/10662/17294
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dc.contributor.authorCabello Sánchez, Félix-
dc.date.accessioned2023-04-18T08:25:53Z-
dc.date.available2023-04-18T08:25:53Z-
dc.date.issued2004-
dc.identifier.issn0213-8743-
dc.identifier.urihttp://hdl.handle.net/10662/17294-
dc.description.abstractIt is a famous result of Alexandroff and Urysohn that every compact metric space is a continuous image of Cantor set ∆. In this short note we complement this result by showing that a certain “uniqueness” property holds. Namely, if (K, d) is a compact metric space and f and g are two continuous mappings from ∆ onto K, then, for every ε > 0 there exists a homeomorphism φ of ∆ such that d(g(x), f (φ(x)) < ε for all x∆.es_ES
dc.description.sponsorshipSupported in part by DGICYT project BMF 2001—083.es_ES
dc.format.extent3 p.es_ES
dc.format.mimetypeapplication/pdfen_US
dc.language.isoenges_ES
dc.publisherUniversidad de Extremadura, Servicio de Publicacioneses_ES
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectHomeomorfismoes_ES
dc.subjectConjunto de Cantores_ES
dc.subjectHomeomorphismes_ES
dc.subjectCantor setes_ES
dc.titleOn continuous surjections from Cantor setes_ES
dc.typearticlees_ES
dc.description.versionpeerReviewedes_ES
europeana.typeTEXTen_US
dc.rights.accessRightsopenAccesses_ES
dc.subject.unesco1210 Topologíaes_ES
europeana.dataProviderUniversidad de Extremadura. Españaes_ES
dc.identifier.bibliographicCitationCabello Sánchez, F. (2004). On continuous surjections from Cantor set. Extracta Mathematicae,19(3), 335-337. E-ISSN 2605-5686es_ES
dc.type.versionpublishedVersiones_ES
dc.contributor.affiliationUniversidad de Extremadura. Departamento de Matemáticases_ES
dc.identifier.publicationtitleExtracta Mathematicaees_ES
dc.identifier.publicationissue3es_ES
dc.identifier.publicationfirstpage335es_ES
dc.identifier.publicationlastpage337es_ES
dc.identifier.publicationvolume19es_ES
dc.identifier.e-issn2605-5686-
dc.identifier.orcid0000-0003-0924-5189es_ES
Appears in Collections:DMATE - Artículos
Extracta Mathematicae Vol. 19, nº 3 (2004)

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