Mathematical logic seminar - November 24, 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.