On the local connectivity of attractors of Markov IFS

Autor:	Mihalache, Nicolae
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems 37B10 37B99
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.14251 Zobrazit plný text záznamu View this record from Arxiv