Hereditary separability in Hausdorff continua

[EN] We consider those Hausdorff continua S such that each separable subspace of S is hereditarily separable. Due to results of Ostaszewski and Rudin, respectively, all monotonically normal spaces and therefore all continuous Hausdorff images of ordered compacta also have this property. Our study fo...

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Detalles Bibliográficos
Autores: Daniel, D., Tuncali, M.
Tipo de recurso: artículo
Fecha de publicación:2012
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:10251/87185
Acceso en línea:https://riunet.upv.es/handle/10251/87185
Access Level:acceso abierto
Palabra clave:Hereditary separability
Image of compact ordered space
Locally connected continuum
Rim-separability
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spelling Hereditary separability in Hausdorff continuaDaniel, D.Tuncali, M.Hereditary separabilityImage of compact ordered spaceLocally connected continuumRim-separability[EN] We consider those Hausdorff continua S such that each separable subspace of S is hereditarily separable. Due to results of Ostaszewski and Rudin, respectively, all monotonically normal spaces and therefore all continuous Hausdorff images of ordered compacta also have this property. Our study focuses on the structure of such spaces that also possess one of various rim properties, with emphasis given to rim-separability. In so doing we obtain analogues of results of M. Tuncali and I. Loncar, respectively.The second author is partially supported by National Science and Engineering Research Council of Canada grants No:141066-2008.Universitat Politècnica de ValènciaNatural Sciences and Engineering Research Council of CanadaRepositorio Institucional de la Universitat Politècnica de València Riunet20122012-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/87185reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengNatural Sciences and Engineering Research Council of Canada NSERC 141066-2008open 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:10251/871852026-06-13T07:49:27Z
dc.title.none.fl_str_mv Hereditary separability in Hausdorff continua
title Hereditary separability in Hausdorff continua
spellingShingle Hereditary separability in Hausdorff continua
Daniel, D.
Hereditary separability
Image of compact ordered space
Locally connected continuum
Rim-separability
title_short Hereditary separability in Hausdorff continua
title_full Hereditary separability in Hausdorff continua
title_fullStr Hereditary separability in Hausdorff continua
title_full_unstemmed Hereditary separability in Hausdorff continua
title_sort Hereditary separability in Hausdorff continua
dc.creator.none.fl_str_mv Daniel, D.
Tuncali, M.
author Daniel, D.
author_facet Daniel, D.
Tuncali, M.
author_role author
author2 Tuncali, M.
author2_role author
dc.contributor.none.fl_str_mv Natural Sciences and Engineering Research Council of Canada
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Hereditary separability
Image of compact ordered space
Locally connected continuum
Rim-separability
topic Hereditary separability
Image of compact ordered space
Locally connected continuum
Rim-separability
description [EN] We consider those Hausdorff continua S such that each separable subspace of S is hereditarily separable. Due to results of Ostaszewski and Rudin, respectively, all monotonically normal spaces and therefore all continuous Hausdorff images of ordered compacta also have this property. Our study focuses on the structure of such spaces that also possess one of various rim properties, with emphasis given to rim-separability. In so doing we obtain analogues of results of M. Tuncali and I. Loncar, respectively.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-04-01
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/10251/87185
url https://riunet.upv.es/handle/10251/87185
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Natural Sciences and Engineering Research Council of Canada NSERC 141066-2008
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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score 15.301603

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