Some properties defined by relative versions of star-covering properties
The authors study so called set star covering properties introduced in 2019 by Kočinac and Konca and which can be viewed as relative topological properties. The first part of this paper deals with set (strongly) starcompact and set (strongly) star Lindelöf spaces and their variations. In the second part the authors study set versions of selectively star-ccc spaces introduced by \textit{P. Bal} and \textit{L. D. R. Kočinac} [Topology Appl. 281, Article ID 107184, 8 p. (2020; Zbl 1458.54014)] and studied by Singh and Kočinac. Three problems raised by Bal, Kočinac and Singh [loc. cit. and \textit{L. D. R. Kočinac} and \textit{S. Singh}, J. Math. 2020, Article ID 9274503, 7 p. (2020; Zbl 1489.54023)] are solved.
scientific article; zbMATH DE number 7453440
scientific article