Under every uncountable almost disjoint family is either anti-Luzin or has an uncountable Luzin subfamily. This fails under CH. Related properties are also investigated.
@article{bwmeta1.element.bwnjournal-article-fmv158i1p51bwm,
author = {Judith Roitman and Lajos Soukup},
title = {Luzin and anti-Luzin almost disjoint families},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {51-67},
zbl = {0923.54029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv158i1p51bwm}
}
Roitman, Judith; Soukup, Lajos. Luzin and anti-Luzin almost disjoint families. Fundamenta Mathematicae, Tome 158 (1998) pp. 51-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv158i1p51bwm/
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