Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658284 | Topology and its Applications | 2015 | 6 Pages |
Abstract
We show that (1) assuming there is no rapid ultrafilter, every countable nondiscrete maximally almost periodic topological group contains a discrete nonclosed subset which is a convergent sequence in some weaker totally bounded group topology, (2) every infinite Abelian totally bounded topological group contains such a discrete subset (in ZFC), and (3) if an extremally disconnected topological group contains such a discrete subset, then there is a selective ultrafilter.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Valentin Keyantuo, Yevhen Zelenyuk,