Some Game-Theoretic Characterizations for Rapid Filters on ω

被引：0
|
作者：
Li, Zuoheng [1 ]
Zhang, Shuguo [1 ]
机构：
[1] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2023年 / 44卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Rapid filter; Infinite game; Game-theoretic characterization;
D O I：
10.1007/s11401-023-0016-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 on omega.
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页码：299 / 306
页数：8
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