Luzin and anti-Luzin almost disjoint families
Volume 158 / 1998
Fundamenta Mathematicae 158 (1998), 51-67
DOI: 10.4064/fm-158-1-51-67
Abstract
Under $MA_{ω_1}$ every uncountable almost disjoint family is either anti-Luzin or has an uncountable Luzin subfamily. This fails under CH. Related properties are also investigated.
