The cardinal characteristics of the ideal generated by the $F_{\sigma }$ measure zero subsets of the reals

Abstract

Let $\mathcal{E}$ be the ideal generated by the $F_{\sigma }$ measure zero subsets of the reals. The purpose of this survey paper is to study the cardinal characteristics (the additivity, covering number, uniformity, and cofinality) of $\mathcal{E}$.

25 Pages, 17 figures. To appear in Proceedings of RIMS Set Theory Workshop 2023. arXiv admin note: text overlap with arXiv:2402.00144