V. Uspenskij

activity

20002021

most citedOn subgroups of minimal topological groups

93 citations · 214 across the 18 of their papers we have counts for

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2 papers · 1 filter

math.DS2007★ 2 cited

On extremely amenable groups of homeomorphisms

Vladimir Uspenskij

A topological group $G$ is {\em extremely amenable} if every compact $G$ -space has a $G$ -fixed point. Let $X$ be compact and $G \subset Homeo (X)$ . We prove that the follo…

math.DS2006★ 6 cited

On metrizable enveloping semigroups

Eli Glasner, Michael Megrelishvili, Vladimir V. Uspenskij

When a topological group $G$ acts on a compact space $X$ , its enveloping semigroup $E (X)$ is the closure of the set of $g$ -translations, $g \in G$ , in the compact space $X^{X}$ . Assum…