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arXiv · 1401.2283

Mathias forcing and combinatorial covering properties of filters

David Chodounský·Dušan Repovš·Lyubomyr Zdomskyy
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Abstract

We give topological characterizations of filters $F$ on $w$ such that the Mathias forcing $M_F$ adds no dominating reals or preserves ground model unbounded families. This allows us to answer some questions of Brendle, Guzmán, Hrušák, Mart\'ınez, Minami, and Tsaban.

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David Chodounský, Dušan Repovš, Lyubomyr Zdomskyy. 2015-04-08. Mathias forcing and combinatorial covering properties of filters. https://doi.org/10.1017/jsl.2014.73

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