2 papers
math.LO2026
Directed schemes of ideals and cardinal characteristics, I: the meager additive ideal
Miguel A. Cardona, Diego A. MejÃa, Ismael E. Rivera-Madrid
We introduce the notion of directed scheme of ideals to characterize peculiar ideals on the reals, which comes from a formalization of the framework of Yorioka ideals for strong me…
math.LO2025
Uniformity numbers of the null-additive and meager-additive ideals
Miguel A. Cardona, Diego A. MejÃa, Ismael E. Rivera-Madrid
Denote by and the ideals of null-additive and meager-additive subsets of~, respectively. We prove in ZFC that $\mathrm{add}(\mathcal{NA})=\mathr…