2020/11/23 by Тарас Банах, Banakh, Taras, Robert Rałowski +3
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Economic theories and models #FOS: Mathematics #General Topology (math.GN)
paper · pdf · doi:10.48550/arxiv.2011.11342
openalex publication_date 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.