The shark teeth is a topological IFS-attractor

被引：12

作者：

Nowak, M. ^{[1
,2
]}

Szarek, T. ^{[3
]}

机构：

[1] Jan Kochanowski Univ, Kielce, Poland

[2] Jagiellonian Univ, Krakow, Poland

[3] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2014年 / 55卷 / 02期

关键词：

fractal; iterated function system; IFS-attractor;

D O I：

10.1134/S0037446614020128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the space called the shark teeth is a topological IFS-attractor, that is, for every open cover of , its image under every suitable large composition from the family of continuous functions {f (1), ..., f (n) } lies in some set from the cover. In particular, there exists a space that is not homeomorphic to any IFS-attractor but is a topological IFS-attractor.

引用

页码：296 / 300

页数：5

共 6 条

[1]

[Anonymous], 1985, Japan J. Appl. Math., DOI 10.1007/BF03167083

[2] Controlled Hahn-Mazurkiewicz Theorem and some new dimension functions of Peano continua [J].