On a semitopological semigroup ${\mathbf{B}}_{\omega }^{\mathcal{F}}$ when a family $\mathcal{F}$ consists of inductive non-empty subsets of $\omega$

Oleg Gutik, Mykola Mykhalenych

Let ${\mathbf{B}}_{\omega }^{\mathcal{F}}$ be the bicyclic semigroup extension for the family $\mathcal{F}$ of $\omega$-closed subsets of $\omega$ which is introduced in \cite{Gutik-Mykhalenych=20…