Classes de Wadge potentielles et théorèmes d'uniformisation partielle

Dominique Lecomte (1)

1 IMJ - Institut de Mathématiques de Jussieu

We want to give a construction as simple as possible of a Borel subset of a product of two Polish spaces. This introduces the notion of potential Wadge class. Among other things, we study the non-potentially closed sets, by proving Hurewicz-like results. This leads to partial uniformization theorems, on big sets, in the sense of cardinality or Baire category.

Domaines: Logique [math.LO]; Topologie générale [math.GN]

Dominique Lecomte. Classes de Wadge potentielles et théorèmes d'uniformisation partielle. Fundamenta Mathematicae, 1993, 143, pp.231-258. ⟨hal-00175689⟩