H-star-Lindelöf property and weaker versions

We introduce the selection principles H-star-Lindelöf, weakly H-star-Lindelöf and almost H-star-Lindelöf and we provide some propositions and relationships with other known properties in literature. Furthermore, in this paper we characterize the above selection principles in hyperspaces endowed with...

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Bibliographic Details
Published in:Topology and its applications 2024-06, Vol.350, p.108911, Article 108911
Main Authors: Cruz-Castillo, Ricardo, Ramírez-Páramo, Alejandro, Tenorio, Jesús F.
Format: Article
Language:English
Subjects:
(Star) selection principles
(Weakly, almost) H-star-Lindelöf
(Weakly, almost) M-star-Lindelöf
H-star-Lindelöf space
Hit-and-miss topologies
Hyperspaces
M-star-Lindelöf space
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Summary:We introduce the selection principles H-star-Lindelöf, weakly H-star-Lindelöf and almost H-star-Lindelöf and we provide some propositions and relationships with other known properties in literature. Furthermore, in this paper we characterize the above selection principles in hyperspaces endowed with the hit-and-miss topology τΔ, by using a new property SSΠΔ(Λ),fin⋆(CΔ(Λ),B), for the corresponding choose of the family B.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2024.108911