数学杂志2011，Vol.31Issue(5)：847-852,6.
Cantor集并的自相似性
SELF-SIMILARITY OF UNIONS OF CANTOR SETS
摘要
Abstract
In this article,the authors study the self-similarity of the union of Cantor sets.By the Cantor expressions they get a basic relationship between Cantor sets and iterated function systems:T ∪ (T + α) is a self-similar set iff there exists a natural number n ≥ 0,such that α =±(k2-k1)dn.Moreover,if T ∪ (T + α) is a self-similar set,it satisfies the open set condition.关键词
Cantor集/迭代函数系/自相似集Key words
Cantor set/iterated function system(IFS)/self-similar set分类
数理科学引用本文复制引用
邓国泰,刘春苔..Cantor集并的自相似性[J].数学杂志,2011,31(5):847-852,6.基金项目
Supported by National Natural Science Foundation of China(10771082). （10771082）
