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...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Publication date: | 2026 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:dnet:riunet______::dc39b9faa59b05c6c2efb59e19ba4ae4 |
| Online Access: | https://riunet.upv.es/handle/10251/235476 |
| Access Level: | Open access |
| Keyword: | Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
| _version_ | 1878737567826837504 |
|---|---|
| author | Martínez-Ruiz, Iván |
| author2 | Moreno-Espinoza, Cesar Alonzo Ramírez Páramo, Alejandro |
| author2_role | author author |
| author_browse | Martínez-Ruiz, Iván Moreno-Espinoza, Cesar Alonzo Ramírez Páramo, Alejandro |
| author_facet | Martínez-Ruiz, Iván Moreno-Espinoza, Cesar Alonzo Ramírez Páramo, Alejandro |
| author_role | author |
| collection | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_a1d1bb4e3cee1306db1f00d5bd76d58a |
| institution | Universitat Politècnica de València (UPV) |
| instname_str | Universitat Politècnica de València (UPV) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:dnet:riunet______::dc39b9faa59b05c6c2efb59e19ba4ae4 |
| publishDate | 2026 |
| publishDateSort | 2026 |
| publisher | Universitat Politècnica de València |
| publisherStr | Universitat Politècnica de València |
| reponame_str | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| spelling | Cellular-P spaces for some Lindelöf-type properties Martínez-Ruiz, Iván Moreno-Espinoza, Cesar Alonzo Ramírez Páramo, Alejandro Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product 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 València https://riunet.upv.es/handle/10251/235476 |
| 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 | 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_short | Cellular-P spaces for some Lindelöf-type properties |
| title_sort | Cellular-P spaces for some Lindelöf-type properties |
| topic | Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
| topic_facet | Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
| url | https://riunet.upv.es/handle/10251/235476 |