On Vitali Sets and Their Unions

  • MATEMATIQKI VESNIK, Vitalij A. Chatyrko, V. A. Chatyrko
  • Published 2011


It is well known that any Vitali set on the real line R does not possess the Baire property. In this article we prove the following: Let S be a Vitali set, Sr be the image of S under the translation of R by a rational number r and F= {Sr : r is rational}. Then for each non-empty proper subfamily F ′ of F the union ∪F ′ does not possess the Baire property… (More)


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