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arXiv:2211.14251 [math.DS]AbstractReferencesReviewsResources

On the local connectivity of attractors of Markov IFS

Nicolae Mihalache

Published 2022-11-25Version 1

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.

Categories: math.DS
Subjects: 37B10, 37B99
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