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Metrizable universal minimal flows of Polish groups have a comeagre orbit (1602.01068v3)
Published 2 Feb 2016 in math.DS and math.LO
Abstract: We prove that, whenever $G$ is a Polish group with metrizable universal minimal flow $M(G)$, there exists a comeagre orbit in $M(G)$. It then follows that there exists an extremely amenable, closed, coprecompact $G*$ of $G$ such that $M(G) = \hat{G/G*}$.
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