On the measurability of a numerical function with respect to a family of sets
Jonathan M. Keith, Gabriele H. Greco
TL;DR
This paper investigates the conditions under which a numerical function is measurable relative to a specific family of sets, providing foundational insights into measure theory.
Contribution
It offers a detailed analysis of the measurability of functions with respect to families of sets, extending classical measure theory concepts.
Findings
Characterization of measurability conditions
Extension of measure-theoretic results to broader set families
Theoretical framework for analyzing function measurability
Abstract
The following document is a translation (from French to English) of: Gabriele H. Greco, Sur la mesurabilit\'e d'une fonction num\'erique par rapport \`a une famille d'ensembles, Rendiconti del Seminario Matematico della Universit\`a di Padova}, tome 65 (1981), pp. 163--176. Translated by: Jonathan M. Keith, School of Mathematics, Monash University, [email protected]. With thanks to: Prof. Andrea D'Agnolo, Editor-in-Chief of the above journal, for permission to publish this translation.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Numerical methods in inverse problems · Advanced Optimization Algorithms Research