Luzin and anti-Luzin almost disjoint families

Volume 158 / 1998

Judith Roitman, Lajos Soukup 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.

Authors

  • Judith Roitman
  • Lajos Soukup

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