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arXiv:0710.0154 [math.LO]AbstractReferencesReviewsResources

Hurewicz-like tests for Borel subsets of the plane

Dominique Lecomte

Published 2007-09-30Version 1

Let xi be a non-null countable ordinal. We study the Borel subsets of the plane that can be made $\bormxi$ by refining the Polish topology on the real line. These sets are called potentially $\bormxi$. We give a Hurewicz-like test to recognize potentially $\bormxi$ sets.

Journal: Electronic Research Announcements of the American Mathematical Society 11 (2005) 95-102
Categories: math.LO, math.GN
Subjects: 03E15, 54H05
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