Geodesic
Filter games on $\omega $ and the dual ideal
Claude Laflamme1 ; Christopher C. Leary2
1 Department of Mathematics and Statistics University of Calgary Calgary, Alberta Canada T2N 1N4
2 Department of Mathematics SUNY Geneseo Geneseo, NY 14454, U.S.A.
Fundamenta Mathematicae, Tome 173 (2002) no. 2, pp. 159-173 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We continue the efforts to characterize winning strategies in various infinite games involving filters on the natural numbers in terms of combinatorial or structural properties of the given filter. Previous results in the literature included those games where player II responded with natural numbers, or finite subsets of natural numbers. In this paper we concentrate on games where player II responds with members of the dual ideal. We also give a summary of known results on filter games.
DOI : 10.4064/fm173-2-4
Keywords: continue efforts characterize winning strategies various infinite games involving filters natural numbers terms combinatorial structural properties given filter previous results literature included those games where player responded natural numbers finite subsets natural numbers paper concentrate games where player responds members dual ideal summary known results filter games

Claude Laflamme 1 ; Christopher C. Leary 2

1 Department of Mathematics and Statistics University of Calgary Calgary, Alberta Canada T2N 1N4
2 Department of Mathematics SUNY Geneseo Geneseo, NY 14454, U.S.A. 
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Claude Laflamme; Christopher C. Leary. Filter games on $\omega $ and the dual ideal. Fundamenta Mathematicae, Tome 173 (2002) no. 2, pp. 159-173. doi: 10.4064/fm173-2-4

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