Robert Rałowski: Nonmeasurability with respect to Marczewski ideal
09/10/14 17:51
Tuesday, October 14, 2014 17:15
Room: D1-215
Speaker: Robert Rałowski
Title: Nonmeasurability with respect to Marczewski ideal
Abstract: Among the others we show relative consistency of ZFC theory with \(\aleph_1< 2^{\aleph_0}\) and there is a nonmesurable (with respect to ideal generated by complete Laver trees) m.a.d. family \(\mathcal{A}\) on Baire space \(\omega^\omega\). In ZFC there is a subset \(\mathcal{A}’\subseteq \mathcal{A}\) of size \(\aleph_1\) unbounded in \(\omega^\omega\). We show that there is m.a.d. family which is nonmeasurable with respect to Marczewski ideal.
Room: D1-215
Speaker: Robert Rałowski
Title: Nonmeasurability with respect to Marczewski ideal
Abstract: Among the others we show relative consistency of ZFC theory with \(\aleph_1< 2^{\aleph_0}\) and there is a nonmesurable (with respect to ideal generated by complete Laver trees) m.a.d. family \(\mathcal{A}\) on Baire space \(\omega^\omega\). In ZFC there is a subset \(\mathcal{A}’\subseteq \mathcal{A}\) of size \(\aleph_1\) unbounded in \(\omega^\omega\). We show that there is m.a.d. family which is nonmeasurable with respect to Marczewski ideal.