Versions of separability in bitopological spaces (Q554403)

This paper deals with bitopological spaces and selection principles. The authors study selective versions of separability in bitopological spaces, in particular in the bispace \((\mathsf{C}(X),\tau_p,\tau_k)\) of continuous real-valued functions on a Tychonoff space \(X\), endowed with the topology \(\tau_p\) of pointwise convergence and the compact-open topology \(\tau_k\). They characterize \(\mathsf{R}\)-separability, \(\mathsf{M}\)-separability and \(\mathsf{H}\)-separability of \((\mathsf{C}(X),\tau_p,\tau_k)\) in terms of selection principles.