Nonexistence of Countable Extremally Disconnected Groups with Many Open Subgroups
General Topology
2014-05-27 v1
Abstract
It is proved that the existence of a countable extremally disconnected Boolean topological group containing a family of open subgroups whose intersection has empty interior implies the existence of a rapid ultrafilter.
Keywords
Cite
@article{arxiv.1405.6356,
title = {Nonexistence of Countable Extremally Disconnected Groups with Many Open Subgroups},
author = {Ol'ga Sipacheva},
journal= {arXiv preprint arXiv:1405.6356},
year = {2014}
}