A note on Carathéodory's Extension Theorem

2011/03/31 by Alexandre G. Patriota, Alexandre G Patriota, Patriota, Alexandre G
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Probability (math.PR) #Rings, Modules, and Algebras #math.PR

paper · pdf · doi:10.48550/arxiv.1103.6166

8 pages

openalex publication_date 2011/03/31 · arxiv created 2011/04/01 · arxiv updated 2011/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we show that the Carathéodory's extension theorem is still valid for a class of subsets of Ω less restricted than a semi-ring, which we call quasi-semi-ring.

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