Selection Principles and Games in Bitopological Function Spaces

For a Tychonoff space X, we denote by (C(X), tau(k), tau(p)) the bitopological space of all real-valued continuous functions on X, where tau(k) is the compact-open topology and tau(p) is the topology of pointwise convergence. In the papers [6, 7, 13] variations of selective separability and tightness in (C(X), tau(k), tau(p)) were investigated. In this paper we continue to study the selective properties and the corresponding topological games in the space (C(X), tau(k), tau(p)).