Algebra in the Stone-\(\check{C}\)ech compactification: applications to topologies on groups

• Дата: 2018
• Автор: Protasov, I. V.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Stone-\(\check{C}\)ech compactification; product of ultrafilters; idempotents; ideals; maximality; resolvability; extremal disconnectedness; 22A05; 22A15; 22A20; 05A18; 54A35; 54D80
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/771
• Назва журналу: Algebra and Discrete Mathematics

For every discrete group \(G\), the Stone-\(\check{C}\)ech compactification \(\beta G\) of \(G\) has a natural structure of compact right topological semigroup. Assume that \(G\) is endowed with some left invariant topology \(\Im\) and let \(\overline{\tau}\) be the set of all ultrafilters on \(G\)...