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).
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页码：347 / 350
页数：4
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