Equicontinuity of minimal sets for amenable group actions on dendrites

2018/07/04 by Shi, Enhui, Ye, Xiangdong
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.01667

Abstract

In this note, we show that if G is an amenable group acting on a dendrite X, then the restriction of G to any minimal set K is equicontinuous, and K is either finite or homeomorphic to the Cantor set.

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