2018/02/14 by Protasov, Igor
#FOS: Mathematics #General Topology (math.GN)
paper · doi:10.48550/arxiv.1802.05224
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-\checkCech 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].