9 papers · 1 filter
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…
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…