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arXiv · 1802.05224

Some more algebra on ultrafilters in metric spaces

Igor Protasov
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Abstract

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-$\check{C}$ech 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].

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Igor Protasov. 2018-02-14. Some more algebra on ultrafilters in metric spaces. https://arxiv.org/abs/1802.05224

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