  In 2017, Tkachuk isolated the closed discrete selection property while
working on problems related to function spaces [15]. In this paper we will
study the closed discrete selection property and the related games and
strategies on $C_k(X)$. Clontz and Holshouser showed previously that the closed
discrete selection game on $C_p(X)$ is equivalent to a modification of the
point-open game on $X$. In this paper we show that the closed discrete
selection game on $C_k(X)$ is equivalent to a modification of the compact-open
game on $X$. We also connect discrete selection properties on $C_k(X)$ to a
variety of other properties on $X$, $C_k(X)$, and hyperspaces of $X$.

General Topology