Generalized Luzin sets

Details Generalized Luzin sets Generalized Luzin sets

2010-03-03

arxiv.org/abs/1003.0714v1

Mathematics

Logic

9 pages

Scientific paper

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.

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