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On μ-β-Lindelöf sets in generalized topological spaces

We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called [Formula: see text]-β-open sets, and apply them to obtain more pr...

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Detalles Bibliográficos
Autor principal: Sarsak, Mohammad S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9958440/
https://www.ncbi.nlm.nih.gov/pubmed/36851974
http://dx.doi.org/10.1016/j.heliyon.2023.e13597
Descripción
Sumario:We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called [Formula: see text]-β-open sets, and apply them to obtain more properties of μ-β-Lindelöf sets.