The Set-Cover game and nonmeasurable unions
General Topology
2022-06-14 v3
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.
Keywords
Cite
@article{arxiv.2011.11342,
title = {The Set-Cover game and nonmeasurable unions},
author = {Taras Banakh and Robert Rałowski and Szymon Żeberski},
journal= {arXiv preprint arXiv:2011.11342},
year = {2022}
}