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arXiv · 2011.11342

The Set-Cover game and nonmeasurable unions

Taras Banakh·Robert Rałowski·Szymon Żeberski
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Abstract

Using a game-theoretic approach we present a generalization of the classical result of Brzuchowski, Cicho\'n, 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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Taras Banakh, Robert Rałowski, Szymon Żeberski. 2020-11-23. The Set-Cover game and nonmeasurable unions. https://arxiv.org/abs/2011.11342

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