Borel–Wadge degrees
Volume 177 / 2003
Fundamenta Mathematicae 177 (2003), 175-192
MSC: 03E15, 03E60.
DOI: 10.4064/fm177-2-5
Abstract
Two sets of reals are Borel equivalent if one is the Borel pre-image of the other, and a Borel–Wadge degree is a collection of pairwise Borel equivalent subsets of ${\mathbb R}$. In this note we investigate the structure of Borel–Wadge degrees under the assumption of the Axiom of Determinacy.
