Borel liftings of Borel sets: some decidable and undecidable statements

DOI10.1090/MEMO/0876zbMath1117.03054OpenAlexW2070299512MaRDI QIDQ3445674

Jean Saint Raymond, Gabriel Debs

Publication date: 12 June 2007

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

Full work available at URL: https://semanticscholar.org/paper/c8822800082ef8410cf4dde26da9b4bed407353a

zbMATH Keywords

constructible universeBorel liftingscompact coveringsdistinguished tree relationsLuzin's problem

Mathematics Subject Classification ID

Descriptive set theory (03E15) Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02) Inner models, including constructibility, ordinal definability, and core models (03E45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (12)

Preservation of the Borel class under countable-compact-covering mappings ⋮ Injective tests of low complexity in the plane ⋮ Stable maps of Borel sets ⋮ Singular analytic sets ⋮ On effective σ‐boundedness and σ‐compactness ⋮ THE GAME OPERATOR ACTING ON WADGE CLASSES OF BOREL SETS ⋮ Preservation of complete metrizability by covering maps ⋮ Effective refining of Borel coverings ⋮ On the complexity of Borel equivalence relations with some countability property ⋮ A SEPARATION RESULT FOR COUNTABLE UNIONS OF BOREL RECTANGLES ⋮ Potential Wadge classes ⋮ Hurewicz-like tests for Borel subsets of the plane

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