A TOPOLOGICAL VERSION OF ITERATED FUNCTION SYSTEMS

被引：0
|
作者：
Mihail, Alexandru [1 ]
机构：
[1] Univ Bucharest, Fac Math & Informat, Bucharest, Romania
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2012年 / 58卷 / 01期
关键词：
iterated function system; shift space; attractor; FRACTALS; SPACE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the paper is to give a generalization of the notion of iterated function system in a topological setting, namely to define a topological iterated function system. We will also give some examples of compact metric spaces which are not attractors of iterated function systems but are attractors of topological iterated function systems. In some examples this spaces are homeomorphic with attractors of classical iterated function systems and in others are not.
引用
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页码：105 / 120
页数：16
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