Bernstein sets and $\kappa$-coverings
Bernstein sets and $\kappa$-coverings
In this paper we study a notion of a $\kappa$-covering in connection with Bernstein sets and other types of nonmeasurability. Our results correspond to those obtained by Muthuvel and Nowik. We consider also other types of coverings.
Comment: 12 pages
Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, Consistency and independence results, Bernstein set, Mathematics - Logic, real line, \(\kappa\)-covering, Descriptive set theory, nonmeasurable set, 03E35 (Primary), 03E75, 28A99 (Secondary)
Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, Consistency and independence results, Bernstein set, Mathematics - Logic, real line, \(\kappa\)-covering, Descriptive set theory, nonmeasurable set, 03E35 (Primary), 03E75, 28A99 (Secondary)
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