1 citations · 1 across the 8 of their papers we have counts for
16 papers
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…
A general theory of iterated forcing using finitely additive measures
Miguel A. Cardona, Diego A. Mejía, Andrés F. Uribe-Zapata
Based on the work of Shelah, Kellner, and Tănasie (Fund. Math., 166(1-2):109-136, 2000 and Comment. Math. Univ. Carolin., 60(1):61-95, 2019), and the recent developments in the thi…
The cardinal characteristics of the ideal generated by the measure zero subsets of the reals
Miguel A. Cardona
Let be the ideal generated by the measure zero subsets of the reals. The purpose of this survey paper is to study the cardinal characteristics (the additivity,…