Classes de Wadge potentielles et théorèmes d'uniformisation partielle

Details Classes de Wadge potentielles et théorèmes d'uniformisation partielle Classes de Wadge potentielles et théorèmes d'uniformisation partielle

2007-09-30

arxiv.org/abs/0710.0133v1

Fundamenta Mathematicae 143 (1993) 231-258

Mathematics

Logic

Scientific paper

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.

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