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arxiv: math/9501209 · v1 · pith:EQ4Z4UYGnew · submitted 1995-01-26 · 🧮 math.LO

Filter games and combinatorial properties of winning strategies

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keywords gamesfilterpropertiesstrategieswinningcharacterizecombinatorialcombinatorics
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We characterize winning strategies in various infinite games involving filters on the natural numbers in terms of combinatorics or structural properties of the given filter. These generalize several ultrafilter games of Galvin.

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