Ultrafilters on \(G\)-spaces

• Дата: 2015
• Автори: Petrenko, O. V., Protasov, I. V.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2015
• Теми: \(G\)-space; ultrafilters; ultracompanion; \(G\)-selective ultrafilter; \(G\)-Ramsey ultrafilter; \(T\)-point; ballean; asymorphism; 05D10; 22A15; 54H20
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/69
• Назва журналу: Algebra and Discrete Mathematics

For a discrete group \(G\) and a discrete \(G\)-space \(X\), we identify the Stone-Cech compactifications \(\beta G\) and \(\beta X\) with the sets of all ultrafilters on \(G\) and \(X\), and apply the natural action of \(\beta G\) on \(\beta X\) to characterize large, thick, thin, sparse and scatte...