Cellular-P spaces for some Lindelöf-type properties
[EN] In this paper, we study two classes of topological spaces: cellular-almost Lindelöf spaces and cellular-weakly Lindelöf spaces. We prove that the classes of cellular-Lindelöf, cellular weakly Lindelöf and cellular-almost Lindelöf are distinct. In addition, we present a comparative study of thes...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:riunet______::dc39b9faa59b05c6c2efb59e19ba4ae4 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/235476 |
| Access Level: | acceso abierto |
| Palabra clave: | Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
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Cellular-P spaces for some Lindelöf-type propertiesMartínez-Ruiz, IvánMoreno-Espinoza, Cesar AlonzoRamírez Páramo, AlejandroCellular-P spacesCellular-LindelöfSymmetry g-functionExtentDCCCProduct Space[EN] In this paper, we study two classes of topological spaces: cellular-almost Lindelöf spaces and cellular-weakly Lindelöf spaces. We prove that the classes of cellular-Lindelöf, cellular weakly Lindelöf and cellular-almost Lindelöf are distinct. In addition, we present a comparative study of these classes. We also establish some cardinality results. In particular, we prove that, under the assumption of 2<c =c , every normal first-countable sequential cellular-weakly Lindelöf space has cardinality at most the continuum. This result generalizes a result by Bella and Spadaro. Furthermore, we prove that if a space X is normal, satisfies the DCCC property, possesses a symmetric g-function g with the property that ? { g ( ( n , x ) ) : n ? ? } = { x } for each x ? X and H ? ( X ) = ? , then its cardinality is bounded by c.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20262026-05-27journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdftext/htmlhttps://riunet.upv.es/handle/10251/235476reponame: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 - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:dnet:riunet______::dc39b9faa59b05c6c2efb59e19ba4ae42026-06-13T07:49:27Z |
| dc.title.none.fl_str_mv |
Cellular-P spaces for some Lindelöf-type properties |
| title |
Cellular-P spaces for some Lindelöf-type properties |
| spellingShingle |
Cellular-P spaces for some Lindelöf-type properties Martínez-Ruiz, Iván Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
| title_short |
Cellular-P spaces for some Lindelöf-type properties |
| title_full |
Cellular-P spaces for some Lindelöf-type properties |
| title_fullStr |
Cellular-P spaces for some Lindelöf-type properties |
| title_full_unstemmed |
Cellular-P spaces for some Lindelöf-type properties |
| title_sort |
Cellular-P spaces for some Lindelöf-type properties |
| dc.creator.none.fl_str_mv |
Martínez-Ruiz, Iván Moreno-Espinoza, Cesar Alonzo Ramírez Páramo, Alejandro |
| author |
Martínez-Ruiz, Iván |
| author_facet |
Martínez-Ruiz, Iván Moreno-Espinoza, Cesar Alonzo Ramírez Páramo, Alejandro |
| author_role |
author |
| author2 |
Moreno-Espinoza, Cesar Alonzo Ramírez Páramo, Alejandro |
| 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 |
Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
| topic |
Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
| description |
[EN] In this paper, we study two classes of topological spaces: cellular-almost Lindelöf spaces and cellular-weakly Lindelöf spaces. We prove that the classes of cellular-Lindelöf, cellular weakly Lindelöf and cellular-almost Lindelöf are distinct. In addition, we present a comparative study of these classes. We also establish some cardinality results. In particular, we prove that, under the assumption of 2<c =c , every normal first-countable sequential cellular-weakly Lindelöf space has cardinality at most the continuum. This result generalizes a result by Bella and Spadaro. Furthermore, we prove that if a space X is normal, satisfies the DCCC property, possesses a symmetric g-function g with the property that ? { g ( ( n , x ) ) : n ? ? } = { x } for each x ? X and H ? ( X ) = ? , then its cardinality is bounded by c. |
| publishDate |
2026 |
| dc.date.none.fl_str_mv |
2026 2026-05-27 |
| 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/10251/235476 |
| url |
https://riunet.upv.es/handle/10251/235476 |
| 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 - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/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 - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/ |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf text/html |
| 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) |
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Universitat Politècnica de València (UPV) |
| reponame_str |
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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15,81155 |