| 齐次cantor集与偏齐次cantor集的关系 |
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| 引用本文： | 庄国平. 齐次cantor集与偏齐次cantor集的关系[J]. 贵阳金筑大学学报, 2010, 0(1): 44-45 |
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| 作者姓名： | 庄国平 |
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| 作者单位： | 华中师范大学数学与统计学院,湖北武汉430079 |
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| 摘 要： | 设μ（I，{nk}k≥1，{ck}k≥1）为闭区间I，正整数序列{nk}k≥1及正实数序列{ck}l≥1确定的Moran集，c（I,{nk},{ck}）c（I,{nk}，{ck}）分别为μ{nk}k≥1，{ck}k≥1的齐次Cantor集与偏齐次Cantor集，给出了齐次Cantor集与偏齐次Cantor集的关系及证明。
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| 关 键 词： | 齐次Moran集 齐次Cantor集 偏齐次Cantor集 |
The Relationship between Homogeneous Cantor Set and Partial Homogeneous Cantor Set |
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| ZHUANG Guo-ping. The Relationship between Homogeneous Cantor Set and Partial Homogeneous Cantor Set[J]. Journal of Jinzhu University of Guiyang, 2010, 0(1): 44-45 |
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| Authors: | ZHUANG Guo-ping |
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| Affiliation: | ZHUANG Guo-ping (College of Mathematics of Statistics, Huazhong Normal University, Wuhan Hubei 430079, China) |
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| Abstract: | Letμ（ {nk}k≥1,{ck}k≥1 ） is a Moran set determined by the closed set I, a positive integer sequence {nk}k≥1 and a positive sequence of real numbers {ck}k≥1. c（ I, {nk}, {ck}） is a homogeneous. Cantor set of μ（ I, {nk}k≥1,{ck}k≥1 , c ＊ （I, { nk}, { ck ）） is a partial homogeneous Cantor set. This article gives the homogeneous Cantor set and the partial homogeneous Cantor set relationship and the proof. |
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| Keywords: | homogeneous Moran set homogeneous Cantor set partial homogeneous Cantor set |
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