An absoluteness principle for Borel sets

DOI10.2307/2586857zbMath0909.03042OpenAlexW2105293318MaRDI QIDQ4212928

Greg Hjorth

Publication date: 25 March 1999

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2586857

zbMATH Keywords

forcinggroup actionsBorel setsBorel equivalence relationsPolish spaceBorel hierarchyPolish groupconstituentsBorel codesStern's absoluteness principle

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Other aspects of forcing and Boolean-valued models (03E40) Determinacy principles (03E60)

Related Items

New jump operators on equivalence relations ⋮ The Borel complexity of von Neumann equivalence ⋮ The descriptive set theory of the Lebesgue density theorem ⋮ EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES ⋮ The classification of countable models of set theory ⋮ Orbit cardinals: On the effective cardinalities arising as quotient spaces of the form \(X/G\) where \(G\) acts on a Polish space \(X\) ⋮ On the classification of vertex-transitive structures ⋮ Borel equivalence relations induced by actions of the symmetric group

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