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arxiv: 0710.0154 · v1 · submitted 2007-09-30 · 🧮 math.LO · math.GN

Hurewicz-like tests for Borel subsets of the plane

classification 🧮 math.LO math.GN
keywords bormxiborelhurewicz-likeplanepotentiallysetssubsetscalled
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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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