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Outer measure on Boolean algebras. (English) Zbl 1177.03052

Summary: We show that it is consistent that there is an atomless outer measure on a complete, ccc, \((\omega,\infty)\)-weakly distributive, countably generated, atomless Boolean algebra without any Maharam submeasure.

MSC:

03E35 Consistency and independence results
06E10 Chain conditions, complete algebras
28A60 Measures on Boolean rings, measure algebras
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