Set-Cover游戏和不可衡量的工会

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2025-04-07 DOI:10.1016/j.apal.2025.103602

Taras Banakh , Robert Rałowski , Szymon Żeberski

引用次数: 0

摘要

本文利用博弈论的方法推广了Brzuchowski、cichoski、Grzegorek和Ryll-Nardzewski关于不可测并的经典结果。我们还介绍了所得结果在马尔切夫斯基-布尔斯汀可表征理想中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Set-Cover game and non-measurable unions

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.

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.