Metrizable universal minimal flows of Polish groups have a comeagre orbit

Autor:	Yaacov, Itaï Ben, Melleray, Julien, Tsankov, Todor
Rok vydání:	2016
Předmět:	Mathematics - Dynamical Systems Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	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 $M(G) = \hat{G/G^*}$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.01068 Zobrazit plný text záznamu View this record from Arxiv