Equivalence between Wadge and Lipschitz determinacy

DOI10.1016/S0168-0072(03)00022-8zbMath1024.03053MaRDI QIDQ1408857

Alessandro Andretta

Publication date: 25 September 2003

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

Lipschitz mapsWadge hierarchydeterminacyWadge gamesLipschitz gamessemi-linear ordering principle

Mathematics Subject Classification ID

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

Related Items (8)

More on Wadge determinacy ⋮ A game theoretical approach to the algebraic counterpart of the Wagner hierarchy : Part I ⋮ The descriptive set theory of the Lebesgue density theorem ⋮ THE DISCONTINUITY PROBLEM ⋮ Lipschitz and Wadge binary games in second order arithmetic ⋮ Baire reductions and good Borel reducibilities ⋮ Borel-amenable reducibilities for sets of reals ⋮ Game representations of classes of piecewise definable functions

Cites Work

• Descriptive set theory
• \(\Pi_ 2^ 1\) Wadge degrees
• Analytic determinacy and 0^#
• Borel–Wadge degrees
• On the Cardinality of $$ \sum_2^1 $$ Sets of Reals
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