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Abstract: We study some closure-type properties of function spaces endowed with the new topology of strong uniform convergence on a bornology introduced by Beer and Levi in 2009. The study of these function spaces was initiated in [G. Beer, S. Levi, Strong uniform continuity, J. Math. Anal. Appl. 350 (2009) 568–589] and [A. Caserta, G. Di Maio, Lʼ. Holá, Arzelàʼs Theorem and strong uniform convergence on bornologies, J. Math. Anal. Appl. 371 (2010) 384–392]. The properties we study are related to selection principles. [Copyright &y& Elsevier]

Abstract: We study covering properties of hyperspaces with the Vietoris topology, as well as with its lower and upper parts. Considered covering properties are defined in terms of selection principles: the Menger, Hurewicz and Rothberger properties, and γ-sets and their relatives. [Copyright &y& Elsevier]

Abstract: We continue the study of applications of k-covers to some topological constructions, mostly to function spaces and hyperspaces. [Copyright &y& Elsevier]

Abstract: In this paper we investigate relationships between closure-type properties of hyperspaces over a space X and covering properties of X. [Copyright &y& Elsevier]