Some more algebra on ultrafilters in metric spaces

• Date: 2018
• Main Author: Protasov, Igor Vladimirovich
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: metric space; ultrafilter; ball invariance; parallelity; prime and strongly prime ultrafilters; 22A15; 54D35; 54E15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1019
• Journal Title: Algebra and Discrete Mathematics

We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-Čech compactification of a discrete group as a right topological semigroup [3]....