January 2015

Marcin Michalski: I-Luzin sets

Tuesday, January 27, 2015 17:15

Room: D1-215

Marcin Michalski

Title: I-Luzin sets

Abstract. We will present some results obtained with Szymon ┼╗eberski involving I-Luzin sets in Euclidean spaces. We shall construct a quite decent (non-trivial, possesing Borel base and translation invariant) sigma-ideal I of sets such that there exists an I-measurable I-Luzin set. We give also sufficient condition of I-nonmeasurability of I-Luzin sets involving Smital Property (precisely- it's weaker version). We also discuss briefly Stenihaus and Smital Properties of Fubini product of sigma-ideals.