Ranks of Maharam algebras

DOI10.1016/j.aim.2018.03.014zbMath1416.28004arXiv1608.02468OpenAlexW2962703240MaRDI QIDQ1644965

Žikica Perović, Boban Velickovic

Publication date: 22 June 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02468

zbMATH Keywords

gameSchreier familiesexhaustive submeasuresadmissible normexhaustivity rankMaharam algebras

Mathematics Subject Classification ID

Measures on Boolean rings, measure algebras (28A60) Ordinal and cardinal numbers (03E10) Set functions, measures and integrals with values in abstract spaces (28Bxx)

Cites Work

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• Maharam algebras
• A very thin thick superatomic Boolean algebra
• ccc forcing and splitting reals
• An algebraic characterization of measure algebras
• On the complemented subspaces of the Schreier spaces
• Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
• Block combinatorics
• Infinite games and reduced products
• Examples of ε-exhaustive pathological submeasures
• Maharam's problem

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