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Between Maharam's and von Neumann's problems

2004/01/13 by Ilijas Farah, Jindrich Zapletal, Farah, Ilijas +2
Computer Science · Mathematics · #03E40 #28A05 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.LO #msc:03E40 #msc:28A05

paper · pdf · doi:10.48550/arxiv.math/0401134

arxiv created 2004/01/13 · openalex publication_date 2004/01/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If I is a suitably definable sigma-ideal on the real line and the factor algebra of Borel sets modulo I is weakly distributive then the algebra carries a Maharam submeasure.

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