3 papers
math.LO2010
Bernstein sets and -coverings
J. Kraszewski, R. Ralowski, P. Szczepaniak +1
In this paper we study a notion of a -covering in connection with Bernstein sets and other types of nonmeasurability. Our results correspond to those obtained by Muthuvel and No…
math.LO2010
Completely nonmeasurable unions
Robert Ralowski, Szymon Zeberski
Assume that there is no quasi-measurable cardinal smaller than . ( is quasi measurable if there exists -additive ideal $\ci $ of subsets of such that the Boolean alg…
math.LO2010
Generalized Luzin sets
Robert Ralowski, Szymon Zeberski
In this paper we invastigate the notion of generalized (I,J) - Luzin set. This notion generalize the standard notion of Luzin set and Sierpinski set. We find set theoretical condit…