Baire reductions and good Borel reducibilities

Details Baire reductions and good Borel reducibilities Baire reductions and good Borel reducibilities

2010-03-24

arxiv.org/abs/1003.4632v1

Journal of Symbolic Logic 75 (2010), no. 1, 323-345

Mathematics

Logic

21 pages

Scientific paper

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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