Mathematical logic seminar – December 8, 2015
Time: 12:30 – 13:30
Room: Wean Hall 7201
Speaker: Andy Zucker
Department of Mathematical Sciences
Title: Universal metrizable minimal flows
Abstract: Let G be a Polish group. We consider the following question: is it possible for the universal minimal flow M(G) to be non-metrizable, but for there to exist a metrizable minimal G-flow which maps onto every other metrizable minimal G-flow? We show that this cannot be the case. As a corollary, we also show that if G admits only countably many metrizable minimal flows, then M(G) is metrizable.