Countable dense homogeneous filters and the Menger covering property

Dušan Repovš, Lyubomyr Zdomskyy, and Shuguo Zhang. "Countable dense homogeneous filters and the Menger covering property." Fundamenta Mathematicae 224.3 (2014): 233-240. <http://eudml.org/doc/283382>.

@article{DušanRepovš2014,
abstract = {We present a ZFC construction of a non-meager filter which fails to be countable dense homogeneous. This answers a question of Hernández-Gutiérrez and Hrušák. The method of the proof also allows us to obtain for any n ∈ ω ∪ \{∞\} an n-dimensional metrizable Baire topological group which is strongly locally homogeneous but not countable dense homogeneous.},
author = {Dušan Repovš, Lyubomyr Zdomskyy, Shuguo Zhang},
journal = {Fundamenta Mathematicae},
keywords = {CDH space; Menger space; Hurewicz space; P-filter; -cover; groupable cover},
language = {eng},
number = {3},
pages = {233-240},
title = {Countable dense homogeneous filters and the Menger covering property},
url = {http://eudml.org/doc/283382},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Dušan Repovš
AU - Lyubomyr Zdomskyy
AU - Shuguo Zhang
TI - Countable dense homogeneous filters and the Menger covering property
JO - Fundamenta Mathematicae
PY - 2014
VL - 224
IS - 3
SP - 233
EP - 240
AB - We present a ZFC construction of a non-meager filter which fails to be countable dense homogeneous. This answers a question of Hernández-Gutiérrez and Hrušák. The method of the proof also allows us to obtain for any n ∈ ω ∪ {∞} an n-dimensional metrizable Baire topological group which is strongly locally homogeneous but not countable dense homogeneous.
LA - eng
KW - CDH space; Menger space; Hurewicz space; P-filter; -cover; groupable cover
UR - http://eudml.org/doc/283382
ER -