Mathias forcing and combinatorial covering properties of filters

0453982 - MÚ 2016 RIV US eng J - Journal Article
Chodounský, David - Repovš, D. - Zdomskyy, L.
Mathias forcing and combinatorial covering properties of filters.
Journal of Symbolic Logic. Roč. 80, č. 4 (2015), s. 1398-1410. ISSN 0022-4812. E-ISSN 1943-5886
R&D Projects: GA AV ČR IAA100190902
Institutional support: RVO:67985840
Keywords : Menger space * Hurewicz space * Mathias forcing
Subject RIV: BA - General Mathematics
Impact factor: 0.510, year: 2015
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10080752

We give topological characterizations of filters ... on omega such that the Mathias forcing ... adds no dominating reals or preserves ground model unbounded families. This allows us to answer some questions of Brendle, Guzmán, Hrušák, Martínez, Minami, and Tsaban.
Permanent Link: http://hdl.handle.net/11104/0254708