Robert Rałowski: On generalized Luzin sets

Tuesday, December 9, 2014 17:15

Room: D1-215

Speaker:
Robert Rałowski

Title: On generalized Luzin sets

Abstract. We will show results obtained together with Sz. Żeberski concerning properties of \((I,J)\)-Luzin sets (for \(I, J\) \(\sigma\)-ideals on Polish space). Under some settheoretical assumptions we will construct \(\mathfrak{c}\) many generalized Luzin sets which are not Borel equivalent. We will also examine some forcing notions which do not kill generalized Luzin sets.