2021/09/12 by Basu, Sanjib, Ray, Atasi Deb, Pramanik, Abhit Chandra
#03E20 #28A05 #54E52 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2109.05499
In this paper, we first establish some equivalent formulations of non-Baire sets in category bases. We then introduce the notion of an uniform non-Baire family of sets and show that there is an uniform non-Baire family inducing a decomposition of the whole space. This phenomenon is then interpreted in the context of the famous Banah-Mazur game.