Luzin and anti-Luzin almost disjoint families

1997/12/01 by Judith Roitman, Roitman, Judith, Lajos Soukup +1 · 1 citation
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Limits and Structures in Graph Theory #Logic (math.LO) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.math/9712270

openalex publication_date 1997/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Under MA_omega1 every uncountable almost disjoint family is either anti-Luzin or has an uncountable Luzin subfamily. This fails under CH. Related properties are also investigated.

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