On the subset combinatorics of \(G\)-spaces

• Datum: 2018
• Hauptverfasser: Protasov, Igor, Slobodianiuk, Sergii
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: \(G\)-space; relative combinatorial derivation; Stone-\(\check{C}\)ech compactification; ultracompanion; sparse and scattered subsets; 20F69; 22A15; 54D35
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1026
• Назва журналу: Algebra and Discrete Mathematics

Let \(G\) be a group and let \(X\) be a transitive \(G\)-space. We classify the subsets of \(X\) with respect to a translation invariant ideal \({J}\) in the Boolean algebra of all subsets of \(X\), introduce and apply the relative combinatorical derivations of subsets of \(X\). Using the standard a...