Some more algebra on ultrafilters in metric spaces

Igor Vladimirovich Protasov


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]. Our approach is based on the concept of parallelity introduced in the context of balleans in [4].


metric space, ultrafilter, ball invariance, parallelity, prime and strongly prime ultrafilters

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