Some more algebra on ultrafilters in metric spaces
General Topology
2018-02-15 v1
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-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].
Keywords
Cite
@article{arxiv.1802.05224,
title = {Some more algebra on ultrafilters in metric spaces},
author = {Igor Protasov},
journal= {arXiv preprint arXiv:1802.05224},
year = {2018}
}
Comments
metric space, ultrafilter, ball invariance, parallelity, prime and strongly prime ultrafilters