A criterion for self-similar sets to be totally disconnected

Autor:	Jun Luo, Dong Hong Xiong
Rok vydání:	2021
Předmět:	self-similar set Set (abstract data type) Combinatorics Type condition Totally disconnected If and only if Totally disconnected space Articles E-connected family finite type Mathematics
Zdroj:	Annales Fennici Mathematici
ISSN:	2737-114X 2737-0690
DOI:	10.5186/aasfm.2021.4671
Popis:	In 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f05e47734a459b62e6885dc0b7884d56 https://doi.org/10.5186/aasfm.2021.4671 Zobrazit plný text záznamu