Some Game-Theoretic Characterizations for Rapid Filters on ω

摘要

Infinite game is a power tool in studying various objects and finding descriptions of some properties of filters in mathematics.Game-theoretic characterizations for meager filters,Q-filters and Ramsey filters were obtained by Tomek Bartoszynski,Claude Laflamme and Marion Scheepers.In this paper,the authors obtain two game-theoretic characterizations for rapid filters onω.