Potential Wadge classes

Dominique Lecomte

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arXiv · 1002.1455

Potential Wadge classes

Dominique Lecomte

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Abstract

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

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BibTeX RIS

Dominique Lecomte. 2010-02-07. Potential Wadge classes. https://arxiv.org/abs/1002.1455

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