Geodesic
Some more algebra on ultrafilters in metric spaces
Algebra and discrete mathematics, Tome 25 (2018) no. 2, pp. 286-293

Voir la notice de l'article provenant de la source Math-Net.Ru

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].
Keywords: metric space, ultrafilter, ball invariance, parallelity, prime and strongly prime ultrafilters. 
Igor Protasov. Some more algebra on ultrafilters in metric spaces. Algebra and discrete mathematics, Tome 25 (2018) no. 2, pp. 286-293. http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a7/
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