Abstract: I will motivate and prove a theorem on the orbit equivalence relations induced by actions of non-Archimedean abelian Polish groups. The theorem states that if such an equivalence relation is essentially countable, then in fact it is essentially hyperfinite. Time permitting I will give a survey of other results on the Borel complexity of these orbit equivalence relations.
Thinking about UNT?
It's easy to apply online. Join us and discover why we're the choice of over 46,000 students.
Apply now