Hurewicz-like tests for Borel subsets of the plane

Dominique Lecomte

Hurewicz-like tests for Borel subsets of the plane

Logic 2007-10-02 v1 General Topology

Authors: Dominique Lecomte

Abstract

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.

Keywords

borel subsets polish topology potentially borel sets hurewicz test countable ordinal

Cite

@article{arxiv.0710.0154,
  title  = {Hurewicz-like tests for Borel subsets of the plane},
  author = {Dominique Lecomte},
  journal= {arXiv preprint arXiv:0710.0154},
  year   = {2007}
}

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