Szymon Żeberski: \(\sigma\)-ideals invariant under measure-preserving homeomorphisms on Cantor's cube

Tuesday, October 7, 2014 17:15

Room: D1-215

Speaker:
Szymon Żeberski

Title: \(\sigma\)-ideals invariant under measure-preserving homeomorphisms on Cantor's cube

Abstract: Results were obtained together with Taras Banakh and Robert Rałowski. We will show that there are only four nontrivial sigma-ideals with Borel base invariant under measure preserving homeomorphisms on Cantor's cube. These ideals are: \(\mathscr{E}\), \(\mathscr{M} \cap \mathscr{N}\), \(\mathscr{M}\), \(\mathscr{N}\).