Connected metrizable subtopologies and partitions into copies of the Cantor set

[EN] We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable completely metrizable space without isolated points is the union of 2ω pairw...

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Detalles Bibliográficos
Autor: Druzhinina, Irina
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/82988
Acceso en línea:https://riunet.upv.es/handle/10251/82988
Access Level:acceso abierto
Palabra clave:Metrizable space
Completely metrizable space
Condensation
Connected metrizable subtopology
Cantor se
Zero-dimensional space
Martin’s Axiom
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spelling Connected metrizable subtopologies and partitions into copies of the Cantor setDruzhinina, IrinaMetrizable spaceCompletely metrizable spaceCondensationConnected metrizable subtopologyCantor seZero-dimensional spaceMartin’s Axiom[EN] We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable completely metrizable space without isolated points is the union of 2ω pairwise disjoint copies of the Cantor set.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20062006-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/82988reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/829882026-06-13T07:49:27Z
dc.title.none.fl_str_mv Connected metrizable subtopologies and partitions into copies of the Cantor set
title Connected metrizable subtopologies and partitions into copies of the Cantor set
spellingShingle Connected metrizable subtopologies and partitions into copies of the Cantor set
Druzhinina, Irina
Metrizable space
Completely metrizable space
Condensation
Connected metrizable subtopology
Cantor se
Zero-dimensional space
Martin’s Axiom
title_short Connected metrizable subtopologies and partitions into copies of the Cantor set
title_full Connected metrizable subtopologies and partitions into copies of the Cantor set
title_fullStr Connected metrizable subtopologies and partitions into copies of the Cantor set
title_full_unstemmed Connected metrizable subtopologies and partitions into copies of the Cantor set
title_sort Connected metrizable subtopologies and partitions into copies of the Cantor set
dc.creator.none.fl_str_mv Druzhinina, Irina
author Druzhinina, Irina
author_facet Druzhinina, Irina
author_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Metrizable space
Completely metrizable space
Condensation
Connected metrizable subtopology
Cantor se
Zero-dimensional space
Martin’s Axiom
topic Metrizable space
Completely metrizable space
Condensation
Connected metrizable subtopology
Cantor se
Zero-dimensional space
Martin’s Axiom
description [EN] We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable completely metrizable space without isolated points is the union of 2ω pairwise disjoint copies of the Cantor set.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/82988
url https://riunet.upv.es/handle/10251/82988
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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