Some New Star-Selection Principles in Topology

Abstract

Before 1940, the study of covering properties of topological spaces was known as diagonalization. Nowadays it is termed as \emph{classical selection principles}. In last two decades selection principles took attention of some mathematicians like Ko$\check{c}$inac [7,8,9,10] Scheepers [13,14,15]. Motivated by the recent works of Ko$\check{c}$inac, we have introduced some new types of star-selection principles and initiated a systematic study where as some problems remain open.