论文标题

设定的游戏和不可衡量的工会

The Set-Cover game and nonmeasurable unions

论文作者

Banakh, Taras, Rałowski, Robert, Żeberski, Szymon

论文摘要

使用游戏理论方法,我们介绍了Brzuchowski,Cichoń,Grzegorek和Ryll-Nardzewski在不可衡量的工会上的经典结果的概括。我们还向Marczewski-burstin代表的理想提供了获得的结果,并建立了拓扑组之间可测量函数和同构的一些可视性和连续性。

Using a game-theoretic approach we present a generalization of the classical result of Brzuchowski, Cichoń, Grzegorek and Ryll-Nardzewski on non-measurable unions. We also present applications of obtained results to Marczewski--Burstin representable ideals, as well as to establishing some countability and continuity properties of measurable functions and homomorphisms between topological groups.

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