Ultrafilters on \(G\)-spaces

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...

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Bibliographic Details
Date:2015
Main Authors: Petrenko, O. V., Protasov, I. V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2015
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/69
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics