Potential Wadge classes

Dominique Lecomte (1)

1 IMJ - Institut de Mathématiques de Jussieu

Let $\bf\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\!\leq\! d\!\leq\!\omega$ a cardinal. We study the Borel subsets of ${\mathbb R}^d$ that can be made $\bf\Gamma$ by refining the Polish topology on the real line. These sets are called potentially $\bf\Gamma$. We give a test to recognize potentially $\bf\Gamma$ sets.

Mots clés: Products; Potentially; Wadge classes; Borel classes; Reduction

Domaines: Logique [math.LO]

Dominique Lecomte. Potential Wadge classes. 2010. ⟨hal-00453893⟩