A few remarks on non-Baire sets in category bases
Functional Analysis
2021-09-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2109.05499,
title = {A few remarks on non-Baire sets in category bases},
author = {Sanjib Basu and Atasi Deb Ray and Abhit Chandra Pramanik},
journal= {arXiv preprint arXiv:2109.05499},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2103.07451