Abstract In this paper we characterize the Rothberger property and the selection principles star-Rothberger and strongly star-Rothberger in the hyperspaces C L ( X ) , K ( X )… Click to show full abstract
Abstract In this paper we characterize the Rothberger property and the selection principles star-Rothberger and strongly star-Rothberger in the hyperspaces C L ( X ) , K ( X ) , F ( X ) and CS ( X ) , endowed with the Vietoris topology. To characterize the corresponding principles type star, we introduce a couple of technical selection principles, which we have denoted by S Π V ( Π V ( Λ ) , Π V ( Λ ) ) and S Π V ⁎ ( Π V ( Λ ) , Π V ( Λ ) ) . Also, we give an equivalence of the selection principle S 1 ( D , D ) in the same hyperspaces, by using c V -covers of a space.
Journal Title: Topology and its Applications
Year Published: 2021
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