MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS

作者：Chodounsky David^*; Repovs Dusan; Zdomskyy Lyubomyr

来源：Journal of Symbolic Logic, 2015, 80(4): 1398-1410.

DOI：10.1017/jsl.2014.73

• Menger space
• Hurewicz space
• gamma-space
• filter
• ideal
• Mathias forcing

We give topological characterizations of filters F on omega 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, Guzman, Hrusak, Martinez, Minami, and Tsaban.

• 出版日期2015-12