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Baire reductions and good Borel reducibilities

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

In [9] we have considered a wide class of “well-behaved” reducibilities for sets of reals. In this paper we continue with the study of Borel reducibilities by proving a dichotomy theorem for the degree-structures induced by good Borel reducibilities. This extends and improves the results of [9] allowing to deal with a larger class of notions of reduction (including, among others, the Baire class ξ functions).

Keywords

DeterminacyWadge hierarchy
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 1 , March 2010 , pp. 323 - 345
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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