2019/07/18 by Marcin Michalski, Michalski, Marcin
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.1907.09305
openalex publication_date 2019/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 1934 N. N. Luzin proved in his short (but dense) paper Sur la decomposition des ensembles that every set X⊆ ℝ can be decomposed into two full, with respect to Lebesgue measure or category, subsets. We will try to (at least partially) decipher the reasoning of Luzin and prove this result following his idea.