The completeness of the isomorphism relation for countable Boolean algebras

DOI10.1090/S0002-9947-00-02659-3zbMath0960.03041OpenAlexW1699173769MaRDI QIDQ4517450

Su Gao, Riccardo Camerlo

Publication date: 22 November 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02659-3

zbMATH Keywords

Polish group actionsBorel reducibilityVaught's conjecturedefinable equivalence relationsseparable Boolean spaces

Mathematics Subject Classification ID

Descriptive set theory (03E15) Stone spaces (Boolean spaces) and related structures (06E15)

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Cites Work

• The structure of countable Boolean algebras
• Minimally generated Boolean algebras
• A Borel reductibility theory for classes of countable structures
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• Representing real numbers in denumerable Boolean algebras
• The number of countable isomorphism types of complete extensions of the theory of Boolean algebras
• Analytic equivalence relations and Ulm-type classifications
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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