On thin-complete ideals of subsets of groups

• Date: 2011
• Main Authors: Banakh, T. O., Lyaskovska, N., Банах, Т. О., Лясковська, Н.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2759
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $F \subset \mathcal{P}_G$ be a left-invariant lower family of subsets of a group $G$. A subset $A \subset G$ is called $\mathcal{F}$-thin if $xA \bigcap yA \in \mathcal{F}$ for any distinct elements $x, y \in G$. The family of all $\mathcal{F}$-thin subsets of G is denoted by $\tau(\mathcal{F})$...