Mathias forcing and combinatorial covering properties of filters

0453982 - MÚ 2016 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA100190902
Institucionální podpora: RVO:67985840
Klíčová slova: Menger space * Hurewicz space * Mathias forcing
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.510, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0254708