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Constructing Wadge classes by Carroy, Raphaël; Medini, Andrea; Müller, Sandra is a scholarly article available to read on EtoBox.

What is Constructing Wadge classes about?

We show that, assuming the Axiom of Determinacy, every non-selfdual Wadge class can be constructed by starting with those of level $\omega_1$ (that is, the ones that are closed under Borel preimages) and iteratively applying the operations of expansion and separated differences. The proof is essentially due to Louveau, and it yields at the same time a new proof of a theorem of Van Wesep (namely, that every non-selfdual Wadge class can be expressed as the result of a Hausdorff operation applied to the open sets). The exposition is self-contained, except for facts from classical descriptive set theory.

Author

Carroy, Raphaël; Medini, Andrea; Müller, Sandra

Published

2019

Language

EN