Hurewicz-like tests for Borel subsets of the plane

Details Hurewicz-like tests for Borel subsets of the plane Hurewicz-like tests for Borel subsets of the plane

2007-09-30

arxiv.org/abs/0710.0154v1

Electronic Research Announcements of the American Mathematical Society 11 (2005) 95-102

Mathematics

Logic

Scientific paper

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.

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