Menger and Menger-type star selection principles for hit-and-miss topology

摘要

In this paper we characterize the Menger property and the selection principles star-Menger and strongly star-Menger in the hyperspaces CL(X), K(X), F (X) and CS (X), endowed with the hit-and-miss topology. To characterize the corresponding principles type star, we introduce a couple of technical selection principles, which we have denoted by S-M (Pi(Delta) (Gamma), Pi(Delta) (Gamma)) and S-M* (Pi(Delta) (Gamma), Pi(Delta) (Gamma)). Also, we give an equivalence of the selection principle S-fin (D, D) in the same hyperspaces, by using cv-covers of a space. (C) 2020 Elsevier B.V. All rights reserved.