A NON SELF-SIMILAR SET

被引：0

作者：

D'Aniello, Emma ^{[1
]}

Steele, T. H. ^{[2
]}

机构：

[1] Seconda Univ Napoli, Scuola Politecn & Sci Base, Dipartimento Matemat & Fis, Viale Lincoln N5, I-81100 Caserta, Italy

[2] Weber State Univ, Dept Math, Ogden, UT 84408 USA

来源：

REAL ANALYSIS EXCHANGE | 2016年 / 41卷 / 02期

关键词：

iterated function system; attractor; self-similar set; Cantor set;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each s epsilon (0, 1], we give an example of a nowhere dense perfect set E contained in the unit interval with dimH(E) = s, which is not an attractor for any iterated function system composed of weak contractions. This answers a problem posed by Zoltan Buczolich at the Summer Symposium in Real Analysis XXXIX (June 8-13, 2015, St. Olaf College, Northfield, MN).

引用

页码：347 / 350

页数：4

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