2 citations · 12 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Cardinal invariants associated with the combinatorics of the uniformity number of the ideal of meager-additive sets
Miguel A. Cardona
In [CMRM24], it was proved that it is relatively consistent that \emph{bounding number} is smaller than the uniformity of , where denote…
Finitely additive measures on Boolean algebras
Miguel A. Cardona, Diego A. Mejía, Andrés F. Uribe-Zapata
In this article, we conduct a detailed study of \emph{finitely additive measures} (fams) in the context of Boolean algebras, focusing on three specific topics: freeness and approxi…
More separations of cardinal characteristics of the strong measure zero ideal
Miguel A. Cardona, Miroslav Repický, Saharon Shelah
Let be the -ideal of the null sets of reals. We introduce a new property of forcing notions that enable control of the additivity of after finite sup…