4 citations
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math.LO2025
Directed schemes of ideals and cardinal characteristics, I: the meager additive ideal
Miguel A. Cardona, Diego A. Mejía, 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.LO2024★ 2 cited
Uniformity numbers of the null-additive and meager-additive ideals
Miguel A. Cardona, Diego A. Mejía, 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})=\mathrm…