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math.LO2025
Absoluteness of the Riemann integral
Carlos M. Parra-Londoño, Andrés F. Uribe-Zapata
This article explores the concept of absoluteness in the context of mathematical analysis, focusing specifically on the Riemann integral on . In mathematical logic,…
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…