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: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:riunet______::dc39b9faa59b05c6c2efb59e19ba4ae4 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/235476 |
| Access Level: | acceso abierto |
| Palavra-chave: | Cellular-P spaces Cellular-Lindelöf Symmetry g-function Extent DCCC Product Space |
| Resumo: | [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. |
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