5 citations · 18 across the 22 of their papers we have counts for
6 papers · 1 filter
Complete nonmeasurability in regular families
Robert Ralowski, Szymon Zeberski
We show that for a -ideal $\ci$ with a Borel base of subsets of an uncountable Polish space, if $\ca$ is (in several senses) a "regular" family of subsets from $\ci $ then there…
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…
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…
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…
Remarks on nonmeasurable unions of big point families
Robert Ralowski
We show that under some conditions on a family $\mathcal{A}\subset\bbi$ there exists a subfamily such that is nonmeasurabl…
Nonmeasurability in Banach spaces
Robert Ralowski
We show that for a -ideal $\ci$ with a Steinhaus property defined on Banach space, if two non-homeomorphic Banach with the same cardinality of the Hamel basis then there is a $\…