Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann

2003/12/28 by B. Balcar, Bohuslav Balcar, T. Jech +6 · 1 citation
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.LO

paper · pdf · doi:10.48550/arxiv.math/0312473

arxiv created 2003/12/28 · openalex publication_date 2003/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is consistent that every weakly distributive complete ccc Boolean algebra carries a strictly positive Maharam submeasure.

Cited by

• Subjective inference

Related

• The sequential topology on complete Boolean algebras
• Topological density of ccc Boolean algebras - every cardinality occurs.
• On submeasures on Boolean algebras
• Convergence and submeasures in Boolean algebras
• A countable Boolean algebra that is Reichenbach's common cause complete