Classes de Wadge potentielles des bor\'eliens \`a coupes d\'enombrables

TL;DR

This paper characterizes Borel sets with countable vertical sections that are not potentially in certain non self-dual Wadge classes within the class of G_delta sets, using partial uniformization results.

Contribution

It provides a new characterization of Borel sets outside specific Wadge classes among those with countable vertical sections.

Findings

Characterization of non-potentially in C Borel sets with countable vertical sections

Application of partial uniformization results

Focus on non self-dual Wadge classes within G_delta sets

Abstract

We give, for each non self-dual Wadge class C contained in the class of the Gdelta sets, a characterization of Borel sets which are not potentially in C, among Borel sets with countable vertical sections; to do this, we use results of partial uniformization.