Baire reductions and good Borel reducibilities

Abstract. In [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 ξ functions).

• Type: Journal
• Year: 2010
• Where: JSYML
• Authors: Luca Motto Ros
• Keywords: Borel Reducibilities, JSYML 2010, Larger Class, Wide Class