On the local connectivity of attractors of Markov IFS

2022/11/25 by Mihalache, Nicolae
#37B10 #37B99 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.14251

Abstract

We prove an extension of M. Hata's theorem [4] for planar Markov Iterated Function Systems satisfying a strong version of the Open Set Condition. More precisely, if the attractor of such a system is connected, then it is locally connected. We construct counterexamples to show that all additional hypothesis are necessary.

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