Logic Seminar
Jindra Zapletal
Univ. Florida - Czech Academy of Sciences
Ergodicity results for analytic equivalence relations
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.
Thursday April 4, 2013 at 3:00 PM in SEO 427