Non-nesting actions of Polish groups on pretrees

2006/07/14 by Al. A. Ivanov, Ivanov, Al. A. · 1 citation
Mathematics · #03E15 (Secondary) #20E08 (Primary) 03C50 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #math.GR #math.LO #msc:03C50 #msc:03E15 #msc:20E08

paper · pdf · doi:10.48550/arxiv.math/0607358

27 pages, AMSLaTeX

arxiv created 2006/07/14 · arxiv updated 2009/12/01

Abstract

We study non-nesting actions of groups on real trees. We prove some fixed point theorems for such actions under the assumption that groups are Polish and have comeagre conjugacy classes.

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• Non-nesting actions of groups on real trees vs isometric actions

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• Non-nesting actions of groups on real trees vs isometric actions
• Group actions on Polish spaces
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