2 citations · 9 across the 10 of their papers we have counts for
11 papers
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…
Probability Trees
Diego A. Mejía, Andrés F. Uribe-Zapata
In this article, we introduce a formal definition of the concept of probability tree and conduct a detailed and comprehensive study of its fundamental structural properties. In par…
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…
Anatomy of
Diego A. Mejía
We present a detailed general framework to describe the forcing , defined by Kellner, Shelah and Tanăsie to prove the consistency with ZFC of an alternative ord…
Forcing techniques for Cichoń's Maximum: Lecture notes for the mini-course at the University of Vienna
Diego A. Mejía
Cichoń's diagram describes the connections between combinatorial notions related to measure, category, and compactness of sets of irrational numbers. In the second part of the 2010…
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…
The measure algebra adding -many random reals is -FAM-linked
Diego A. Mejía, Andrés F. Uribe-Zapata
The notion of -FAM-linkedness, introduced in the second author's master thesis, is a formalization of the notion of strong FAM limits for intervals, whose initial form and appli…
Separating cardinal characteristics of the strong measure zero ideal
Jörg Brendle, Miguel A. Cardona, Diego A. Mejía
Let be the -ideal of the strong measure zero sets of reals. We present general properties of forcing notions that allow to control of the additivity of $\mathcal{…
Localization and anti-localization cardinals
Miguel A. Cardona, Diego Alejandro Mejía
This paper is intended to survey the basics of localization and anti-localization cardinals on the reals, and its interplay with notions and cardinal characteristics related to mea…
More about the cofinality and the covering of the ideal of strong measure zero sets
Miguel A. Cardona, Diego A. Mejía
We improve the previous work of Yorioka and the first author about the combinatorics of the ideal of strong measure zero sets of reals. We refine the notions of domi…
Lebesgue measure zero modulo ideals on the natural numbers
Viera Gavalová, Diego Alejandro Mejía
We propose a reformulation of the ideal of Lebesgue measure zero sets of reals modulo an ideal on , which we denote by . In the same way, we ref…