Potential Wadge classes

Details Potential Wadge classes Potential Wadge classes

2010-02-07

arxiv.org/abs/1002.1455v1

Mathematics

Logic

Scientific paper

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.

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