Andy Zucker: Universal metrizable minimal flows

Mathematical logic seminar – November 24, 2015
Time:     12:30 – 13:30

Room:     Wean Hall 7201

Speaker:         Andy Zucker
Department of Mathematical Sciences
CMU

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.