Aleksander Cieślak: Nonmeasurable images in Polish space with respect to selected sigma ideals
10/10/16 11:06
Tuesday, October 11, 2016 17:15
Room: D1-215
Speaker: Aleksander Cieślak
Title: Nonmeasurable images in Polish space with respect to selected sigma ideals
Abstract. We present results on nonmeasurability (with respect to a selected σ-ideal on a Polish space) of images of functions defined on Poilish spaces. In particular, we give a positive answer to the following question: Is there a subset of the unit disc in the real plane such that continuum many projections onto lines are Lebesgue measurable and continuum many projections are not? Results were obtained together with Robert Rałowski.
Room: D1-215
Speaker: Aleksander Cieślak
Title: Nonmeasurable images in Polish space with respect to selected sigma ideals
Abstract. We present results on nonmeasurability (with respect to a selected σ-ideal on a Polish space) of images of functions defined on Poilish spaces. In particular, we give a positive answer to the following question: Is there a subset of the unit disc in the real plane such that continuum many projections onto lines are Lebesgue measurable and continuum many projections are not? Results were obtained together with Robert Rałowski.