Abstract
We construct Bernstein sets in ℝ having some additional algebraic properties. In particular, solving a problem of Kraszewski, Rałowski, Szczepaniak and Żeberski, we construct a Bernstein set which is a < c-covering and improve some other results of Rałowski, Szczepaniak and Żeberski on nonmeasurable sets.
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Kysiak, M. Bernstein sets with algebraic properties. centr.eur.j.math. 7, 725–731 (2009). https://doi.org/10.2478/s11533-009-0053-0
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DOI: https://doi.org/10.2478/s11533-009-0053-0