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arXiv · 1004.2172

Baire class one colorings and a dichotomy for countable unions of $F_σ$ rectangles

Dominique Lecomte
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Abstract

We study the Baire class one countable colorings, i.e., the countable partitions into $F_σ$ sets. Such a partition gives a covering of the diagonal into countably many $F_σ$ squares. This leads to the study of countable unions of $F_σ$ rectangles. We give a Hurewicz-like dichotomy for such countable unions.

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BibTeXRIS

Dominique Lecomte. 2010-04-13. Baire class one colorings and a dichotomy for countable unions of $F_σ$ rectangles. https://arxiv.org/abs/1004.2172

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