Time: | 12:30 - 13:30 |
Room: |
Wean Hall 7201
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Speaker: |
Andy Zucker Department of Mathematical Sciences CMU |
Title: |
Universal metrizable minimal flows
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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. |