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Bernstein sets and κ ‐coverings |
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| Authors: | Jan Kraszewski Robert Rałowski Przemysław Szczepaniak Szymon Żeberski |
| Affiliation: | 1. Institute of Mathematics and Computer Sciences, Wroc?aw University of Technology, Wybrze?e Wyspiańskiego 27, 50‐370 Wroc?aw, Poland;2. Institute of Mathematics and Computer Sciences, University of Opole, ul. Oleska 48, 45‐052 Opole, Poland |
| Abstract: | In this paper we study a notion of a κ ‐covering set in connection with Bernstein sets and other types of non‐measurability. Our results correspond to those obtained by Muthuvel in [7] and Nowik in [8]. We consider also other types of coverings (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Nonmeasurable set real line Bernstein set κ ‐covering |