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arXiv · 1003.4632

Baire reductions and good Borel reducibilities

Luca Motto Ros
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Abstract

In reference [8] 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 [8] allowing to deal with a larger class of notions of reduction (including, among others, the Baire class $\xi$ functions).

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Luca Motto Ros. 2010-03-24. Baire reductions and good Borel reducibilities. https://doi.org/10.2178/jsl/1264433924

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