Countable dense homogeneous filters and the Menger covering property

• Autorzy: Dušan Repovš , Lyubomyr Zdomskyy , Shuguo Zhang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 22A05: Structure of general topological groups
• 54D80: Special constructions of spaces (spaces of ultrafilters, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 224
• Numer: 3
• Strony: 233-240

Daty

wydano

2014

Twórcy

autor

Dušan Repovš

• Faculty of Education
• Faculty of Mathematics and Physics, University of Ljubljana, P.O. Box 2964 Ljubljana, Slovenia 1001

autor

Lyubomyr Zdomskyy

• Kurt Gödel Research Center for, Mathematical Logic, University of Vienna, Währinger Straße 25, A-1090 Wien, Austria

autor

Shuguo Zhang

• College of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China

Identyfikatory

DOI

10.4064/fm224-3-3