Almost strongly star-Menger and related properties
[EN] In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature. Furthermore, we characterize the almost strongly star-Menger and the almost star-Menger properties in hyperspaces endowed with the hit-a...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| 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:10251/227658 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/227658 |
| Access Level: | acceso abierto |
| Palabra clave: | Almost star-Menger space Almost strongly star-Menger space Hit-and-miss topologies Hyperspaces (star) selection principles |
| Sumario: | [EN] In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature. Furthermore, we characterize the almost strongly star-Menger and the almost star-Menger properties in hyperspaces endowed with the hit-and-miss topology $\tau_\Delta$, by using two new selection principles $\mathbf{S}_{\textsf{fin}}^{\star}(\Pi_{\Delta}(\Lambda), \mathscr{B})$ and $\mathbf{SS}_{\textsf{fin}}^{\star}(\Pi_{\Delta}(\Lambda), \mathscr{B})$, for an appropriate family $\mathscr{B}$. |
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