Potential Wadge classes

2010/02/07 by Dominique Lecomte, Lecomte, Dominique
Mathematics · #03E15 (Primary) #26A21 #28A05 #54H05 (Secondary) #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03E15 #msc:26A21 #msc:28A05 #msc:54H05

paper · pdf · doi:10.48550/arxiv.1002.1455

arxiv created 2010/02/07 · arxiv updated 2010/02/26

Abstract

Let \bfΓ be a Borel class, or a Wadge class of Borel sets, and 2≤ d≤ω 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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