Selection principles and games in bitopological function spaces

Abstract

For a Tychonoff space X, we denote by (C(X), τk, τp ) the bitopological space of all real-valued continuous functions on X, where τk is the compact-open topology and τp is the topology of pointwise convergence. In the papers [6, 7, 13] variations of selective separability and tightness in (C(X), τk, τp ) were investigated. In this paper we continue to study the selective properties and the corresponding topological games in the space (C(X), τk, τp ). © 2019, University of Nis. All rights reserved.