Classes de Wadge potentielles des bor\'eliens \`a coupes d\'enombrables
Dominique Lecomte (IMJ)

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.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Nonlinear Partial Differential Equations · Advanced Topology and Set Theory
