A Realization of Measurable Sets as Limit Points

2007/12/14 by Jun Tanaka, Tanaka, Jun, Peter F. McLoughlin +1
Engineering · #28A12 #28B20. #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.0712.2270

openalex publication_date 2007/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting 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.

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