Generalized Luzin sets
Logic
2010-03-04 v1 General Topology
Abstract
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 conditions which imply the existence of generalized (I,J) - Luzin set. We show how to construct large family of pairwise non-equivalent (I,J) - Luzin sets. We find a class of forcings which preserves the property of being (I,J) - Luzin set.
Keywords
Cite
@article{arxiv.1003.0714,
title = {Generalized Luzin sets},
author = {Robert Ralowski and Szymon Zeberski},
journal= {arXiv preprint arXiv:1003.0714},
year = {2010}
}
Comments
9 pages