Baire class one colorings and a dichotomy for countable unions of $F_\sigma$ rectangles
Logic
2010-05-02 v1 General Topology
Abstract
We study the Baire class one countable colorings, i.e., the countable partitions into sets. Such a partition gives a covering of the diagonal into countably many squares. This leads to the study of countable unions of rectangles. We give a Hurewicz-like dichotomy for such countable unions.
Cite
@article{arxiv.1004.2172,
title = {Baire class one colorings and a dichotomy for countable unions of $F_\sigma$ rectangles},
author = {Dominique Lecomte},
journal= {arXiv preprint arXiv:1004.2172},
year = {2010}
}