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arxiv: 0710.0133 · v1 · submitted 2007-09-30 · 🧮 math.LO · math.GN

Classes de Wadge potentielles et th\'eor\`emes d'uniformisation partielle

classification 🧮 math.LO math.GN
keywords setswadgebaireborelcardinalitycategoryclassclasses
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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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