Dendrite-type attractors of infinite iterated function systems

被引：0
|
作者：
Dumitru, Dan [1 ]
机构：
[1] Spiru Haret Univ Bucharest, Fac Math & Comp Sci, 13 Ion Ghica Str, Bucharest, Romania
来源：
AFRIKA MATEMATIKA | 2015年 / 26卷 / 5-6期
关键词：
Attractors; Infinite iterated function systems; Dendrite; Locally connected; Arcwise conected;
D O I：
10.1007/s13370-014-0272-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to establish a necessary and sufficient condition for the attractor of an infinite iterated function system to be a dendrite. In that sense, we will consider the associated graph of an attractor and prove that, in some conditions, the attractor is a dendrite if and only if the associated graph is an infinite tree.
引用
收藏
页码：1161 / 1169
页数：9
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