  This article deals with certain star variants of the Scheepers property. We
introduce and study the star-$K$-Scheepers property and corresponding game. The
relationships between the game corresponding to the star-$K$-Scheepers property
and other variants of the Scheepers games are investigated. Furthermore, the
relation among the winning strategies of the players in such games are
represented in an implication diagram. We present certain observations in terms
of Alster covers and the Alexandroff duplicates. In addition, we examine few
preservation like properties in this context. Some open problems are also
posed.

General Topology