A criterion for self-similar sets to be totally disconnected
Keywords:Totally disconnected, self-similar set, finite type, E-connected family
AbstractIn this paper, we prove that, under Bandt's finite type condition, a self-similar set is totally disconnected if and only if the \(E\)-connected families on every level are uniformly finite.
How to Cite
Luo, J., & Xiong, D. H. (2021). A criterion for self-similar sets to be totally disconnected. Annales Fennici Mathematici, 46(2), 1155–1159. Retrieved from https://afm.journal.fi/article/view/111296
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