Geodesic
Characterizations of weakly star-type Rothberger and Menger properties in hyperspaces
Filomat, Tome 37 (2023) no. 24, p. 8237

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DOI

In this paper, we introduce the selection principles wSS∗ 1(ΠΔ(Λ),CΔ(Λ)), wSS∗ fin(ΠΔ(Λ),CΔ(Λ)), wS∗ 1(ΠΔ(Λ),CΔ(Λ)) and wS∗ fin(ΠΔ(Λ),CΔ(Λ)) to characterize the properties of weakly strong-star Rothberger (Menger) and weakly star-Rothberger (Menger) in the hyperspace (Λ, τ+ Δ), respectively. Furthermore, we introduce the notions H(CΔ(Λ)) and Ifin(CΔ(Λ),CΔ(Λ)) to characterize, respectively, the H-separability and the principle Ufin(D,D), in the same hyperspace.
DOI : 10.2298/FIL2324237C
Classification : 54B20, 54A05, 54A25, 54D20
Keywords: H-separable, hit-and-miss topologies, hyperspaces, (star) selection principles, weakly star-Rothberger (Menger), weakly strongly star-Rothberger (Menger) 
Ricardo Cruz-Castillo; Alejandro Ramírez-Páramo; Jesús F Tenorio. Characterizations of weakly star-type Rothberger and Menger properties in hyperspaces. Filomat, Tome 37 (2023) no. 24, p. 8237 . doi: 10.2298/FIL2324237C
@article{10_2298_FIL2324237C,
     author = {Ricardo Cruz-Castillo and Alejandro Ram{\'\i}rez-P\'aramo and Jes\'us F Tenorio},
     title = {Characterizations of weakly star-type {Rothberger} and {Menger} properties in hyperspaces},
     journal = {Filomat},
     pages = {8237 },
     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324237C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324237C/}
}
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