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Borel-amenable reducibilities for sets of reals

Published online by Cambridge University Press:  12 March 2014

Luca Motto Ros
Luca Motto Ros*
Affiliation:
Kurt Gödel Research Center for Mathematical Logic, University of Vienna, Währinger Straße 25, A-1090 Vienna, Austria, E-mail: luca.mottoros@libero.it
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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 (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).

Keywords

DeterminacyWadge hierarchy
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 74 , Issue 1 , March 2009 , pp. 27 - 49
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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