2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144230Starting with a sigma finite measure on an algebra, we define a pseudometric and show how measurable sets from the Caratheodory Extension Theorem can be thought of as limit points of Cauchy sequences in the algebra.Functional Analysis28A12, 28B20.A Realization of Measurable Sets as Limit Pointstext