8 papers · 1 filter
Finitely additive measures on Boolean algebras
Miguel A. Cardona, Diego A. MejÃa, 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…
Uniformity numbers of the null-additive and meager-additive ideals
Miguel A. Cardona, Diego A. MejÃa, 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})=\mathr…
Separating cardinal characteristics of the strong measure zero ideal
Jörg Brendle, Miguel A. Cardona, Diego A. MejÃa
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…
Forcing techniques for CichoÅ's Maximum: Lecture notes for the mini-course at the University of Vienna
Diego A. MejÃa
CichoÅ'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 201…
The measure algebra adding -many random reals is -FAM-linked
Diego A. MejÃa, 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 appl…
More about the cofinality and the covering of the ideal of strong measure zero sets
Miguel A. Cardona, Diego A. MejÃa
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…