Borel Classes and Closed Games: Wadge-Type and Hurewicz-Type Results

DOI10.2307/2000725zbMath0655.04001OpenAlexW4247912684MaRDI QIDQ3801552

Jean Saint Raymond, Alain Louveau

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000725

zbMATH Keywords

Borel setsunfoldingBorel classanalytic setBorel gamesweak second-order arithmetic

Mathematics Subject Classification ID

Descriptive set theory (03E15) Determinacy principles (03E60)

Related Items (26)

Three topological reducibilities for discontinuous functions ⋮ On Borel ideals ⋮ On minimal non-potentially closed subsets of the plane ⋮ Compact covering and game determinacy ⋮ Fine hierarchy of regular \(\omega\)-languages ⋮ On effective \(\sigma\)-boundedness and \(\sigma\)-compactness in Solovay's model ⋮ Lipschitz and Wadge binary games in second order arithmetic ⋮ ON THE ‐COMPLETENESS AND ‐COMPLETENESS OF MULTIFRACTAL DECOMPOSITION SETS ⋮ Sets of filter convergence of sequences of continuous functions ⋮ The conjugacy problem in ergodic theory ⋮ Borel complexity of the space of probability measures ⋮ A non-homogeneous zero-dimensional 𝑋 such that 𝑋×𝑋 is a group ⋮ Separation of analytic sets by rectangles of low complexity ⋮ On effective σ‐boundedness and σ‐compactness ⋮ Hurewicz test sets for generalized separation and reduction ⋮ The topological complexity of a natural class of norms on Banach spaces ⋮ Condensations of projective sets onto compacta ⋮ On Borel groups ⋮ Monotone Reducibility Over the Cantor Space ⋮ A generalization of a theorem of Hurewicz for quasi-Polish spaces ⋮ 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 ⋮ Maps of Borel sets

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