Countable dense homogeneous filters and the Menger covering property
Dušan Repovš ; Lyubomyr Zdomskyy ; Shuguo Zhang
Fundamenta Mathematicae, Tome 227 (2014), p. 233-240 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:283382 
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     title = {Countable dense homogeneous filters and the Menger covering property},
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     year = {2014},
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Dušan Repovš; Lyubomyr Zdomskyy; Shuguo Zhang. Countable dense homogeneous filters and the Menger covering property. Fundamenta Mathematicae, Tome 227 (2014) pp. 233-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm224-3-3/