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.

引用

页码：299 / 306

页数：8

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