Countable dense homogeneous filters and the Menger covering property
General Topology
2014-06-04 v1 Logic
Abstract
In this note we present a ZFC construction of a non-meager filter which fails to be countable dense homogeneous. This answers a question of Hern\'andez-Guti\'errez and Hru\v{s}\'ak. The method of the proof also allows us to obtain a metrizable Baire topological group which is strongly locally homogeneous but not countable dense homogeneous.
Keywords
Cite
@article{arxiv.1406.0692,
title = {Countable dense homogeneous filters and the Menger covering property},
author = {Dušan Repovš and Lyubomyr Zdomskyy and Shuguo Zhang},
journal= {arXiv preprint arXiv:1406.0692},
year = {2014}
}
Comments
8 pages