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| Some Game-Theoretic Characterizations for Rapid Filters on ω* |
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Citation： |
Zuoheng LI,Shuguo ZHANG.Some Game-Theoretic Characterizations for Rapid Filters on ω*[J].Chinese Annals of Mathematics B,2023,44(2):299~306 |
| Page view： 626
Net amount： 422 |
Authors： |
Zuoheng LI; Shuguo ZHANG |
Foundation： |
National Natural Science Foundation of China (No. 11771311). |
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| Abstract： |
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 on ω. |
Keywords： |
Rapid filter, Infinite game, Game-theoretic characterization |
Classification： |
03E05, 91A44 |
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