Robert Rałowski: Nonmeasurability with respect to Marczewski ideal

Tuesday, October 14, 2014, 17:15
Wrocław University of Technology, 215 D-1

Speaker: Robert Rałowski (Wrocław University of Technology)

Title: Nonmeasurability with respect to Marczewski ideal

Abstract:
Among the others we show relative consistency of ZFC theory with ℵ1<2ℵ0 and there is a nonmesurable (with respect to ideal generated by complete Laver trees) m.a.d. family A on Baire space ωω. In ZFC there is a subset A′⊆A of size ℵ1 unbounded in ωω. We show that there is m.a.d. family which is nonmeasurable with respect to Marczewski ideal.

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