Selection principles and games in bitopological function spaces

Daniil Lyakhovets, Alexander Osipov


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 papers [5, 6,
13] variations of selective separability and tightness in (C(X), \tau_k, \tau_p) were
investigated. In this paper we continued to study the selective properties
and the corresponding topological games in the space (C(X), \tau_k, \tau_p).


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