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March 2009 Borel-amenable reducibilities for sets of reals
Luca Motto Ros
J. Symbolic Logic 74(1): 27-49 (March 2009). DOI: 10.2178/jsl/1231082301

Abstract

We show that if ℱ is any “well-behaved” subset of the Borel functions and we assume the Axiom of Determinacy then the hierarchy of degrees on 𝒫(ωω) induced by ℱ turns out to look like the Wadge hierarchy (which is the special case where ℱ is the set of continuous functions).

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Luca Motto Ros. "Borel-amenable reducibilities for sets of reals." J. Symbolic Logic 74 (1) 27 - 49, March 2009. https://doi.org/10.2178/jsl/1231082301

Information

Published: March 2009
First available in Project Euclid: 4 January 2009

zbMATH: 1177.03048
MathSciNet: MR2499419
Digital Object Identifier: 10.2178/jsl/1231082301

Subjects:
Primary: 03E15 , 03E60

Keywords: determinacy , Wadge hierarchy

Rights: Copyright © 2009 Association for Symbolic Logic

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Vol.74 • No. 1 • March 2009
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