Jindra Zapletal : Ergodicity results for analytic equivalence relations

Posted by Christian Rosendal , part of the Logic Seminar.

At

April 4, 2013, 3 p.m.

In

SEO 427

Abstract

For analytic equivalence relations E, F on Polish spaces, say that E is F-generically ergodic if for every Borel homomorphism from E to F there is an F-equivalence class whose preimage is comeager. Similarly define F-measure ergodicity. I will outline a new technology for proving such ergodicity results, starting with a forcing restatement of Hjorth's turbulence. A sample result: the $c_0$ equivalence is F-measure-ergodic for every K-sigma equivalence relation F.