On thin-complete ideals of subsets of groups

• Datum: 2011
• Hauptverfasser: Banakh, T. O., Lyaskovska, N., Банах, Т. О., Лясковська, Н.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2759
• Назва журналу: 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 $\tau(\mathcal{F})$...