Some properties defined by relative versions of star-covering properties II

[EN] In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star Menger and set strong...

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Detalhes bibliográficos
Autores: Bonanzinga, Maddalena, Giacopello, Davide, Maesano, Fortunato
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/199682
Acesso em linha:https://riunet.upv.es/handle/10251/199682
Access Level:acceso abierto
Palavra-chave:Star compact
Strongly star compact
Star Lindelöf
Strongly star Lindelöf
Star Menger
Strongly star Menger
Star Hurewicz
Strongly star Hurewicz
Set properties
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repository_id_str
spelling Some properties defined by relative versions of star-covering properties IIBonanzinga, MaddalenaGiacopello, DavideMaesano, FortunatoStar compactStrongly star compactStar LindelöfStrongly star LindelöfStar MengerStrongly star MengerStar HurewiczStrongly star HurewiczSet properties[EN] In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star Menger and set strong star Hurewicz properties are between countable compactness and the property of having countable extent. Also we show that the extent of a regular set star Menger or a set star Hurewicz space cannot exceed c. Moreover, we construct (1) a consistent example of a set star Menger (set star Hurewicz) space which is not set strongly star Menger (set strongly star Hurewicz) and show that (2) the product of a set star Menger (set star Hurewicz) space with a compact space need not be set star Menger (set star Hurewicz). In particular, (1) and (2) answer some questions posed by Kočinac, Konca and Singh in [17] and [23].The research was supported by “National Group for Algebric and Geometric Structures, and their Applications” (GNSAGA-INdAM)Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20232023-10-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/199682reponame: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:10251/1996822026-06-13T07:49:27Z
dc.title.none.fl_str_mv Some properties defined by relative versions of star-covering properties II
title Some properties defined by relative versions of star-covering properties II
spellingShingle Some properties defined by relative versions of star-covering properties II
Bonanzinga, Maddalena
Star compact
Strongly star compact
Star Lindelöf
Strongly star Lindelöf
Star Menger
Strongly star Menger
Star Hurewicz
Strongly star Hurewicz
Set properties
title_short Some properties defined by relative versions of star-covering properties II
title_full Some properties defined by relative versions of star-covering properties II
title_fullStr Some properties defined by relative versions of star-covering properties II
title_full_unstemmed Some properties defined by relative versions of star-covering properties II
title_sort Some properties defined by relative versions of star-covering properties II
dc.creator.none.fl_str_mv Bonanzinga, Maddalena
Giacopello, Davide
Maesano, Fortunato
author Bonanzinga, Maddalena
author_facet Bonanzinga, Maddalena
Giacopello, Davide
Maesano, Fortunato
author_role author
author2 Giacopello, Davide
Maesano, Fortunato
author2_role author
author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Star compact
Strongly star compact
Star Lindelöf
Strongly star Lindelöf
Star Menger
Strongly star Menger
Star Hurewicz
Strongly star Hurewicz
Set properties
topic Star compact
Strongly star compact
Star Lindelöf
Strongly star Lindelöf
Star Menger
Strongly star Menger
Star Hurewicz
Strongly star Hurewicz
Set properties
description [EN] In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star Menger and set strong star Hurewicz properties are between countable compactness and the property of having countable extent. Also we show that the extent of a regular set star Menger or a set star Hurewicz space cannot exceed c. Moreover, we construct (1) a consistent example of a set star Menger (set star Hurewicz) space which is not set strongly star Menger (set strongly star Hurewicz) and show that (2) the product of a set star Menger (set star Hurewicz) space with a compact space need not be set star Menger (set star Hurewicz). In particular, (1) and (2) answer some questions posed by Kočinac, Konca and Singh in [17] and [23].
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-10-02
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/10251/199682
url https://riunet.upv.es/handle/10251/199682
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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score 15,300719

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