Luzin and anti-Luzin almost disjoint families
Logic
2016-09-07 v1
Abstract
Under MA_{omega_1} every uncountable almost disjoint family is either anti-Luzin or has an uncountable Luzin subfamily. This fails under CH. Related properties are also investigated.
Cite
@article{arxiv.math/9712270,
title = {Luzin and anti-Luzin almost disjoint families},
author = {Judith Roitman and Lajos Soukup},
journal= {arXiv preprint arXiv:math/9712270},
year = {2016}
}