Selection principles and games in bitopological function spaces

Abstract

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 $(C(X),{\tau }_k,{\tau }_p)$.

10 pages. arXiv admin note: text overlap with arXiv:1805.04363