3 papers
math.LO2025
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…
math.PR2025
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…
math.LO2024
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…