| Cantor集的余维数与上盒维数及其关系 |
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| 引用本文： | 王小燕,吴 兴. Cantor集的余维数与上盒维数及其关系[J]. 华中师范大学学报(自然科学版), 2012, 46(2): 134-136 |
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| 作者姓名： | 王小燕 吴 兴 |
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| 作者单位： | 华中师范大学数学与统计学学院,武汉,430079 |
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| 摘 要： | 讨论了齐次Cantor集和偏齐次Cantor集的上盒维数及余维数之间的关系,得到了齐次Cantor集和偏齐次Cantor集具有上盒维数和余维数相等的特性.
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| 关 键 词： | 齐次Cantor集 偏齐次Cantor集 上盒维数 余维数 |
The relationship between Cantor set of codimension and its upper box dimension |
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| WANG Xiaoyan , WU Xing. The relationship between Cantor set of codimension and its upper box dimension[J]. Journal of Central China Normal University(Natural Sciences), 2012, 46(2): 134-136 |
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| Authors: | WANG Xiaoyan WU Xing |
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| Affiliation: | (School of Mathematics and Statistics,Huazhong Normal University,Wuhan 430079) |
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| Abstract: | In this paper,the authors discuss the relationship between the upper box dimension and co-dimension on homogeneous Cantor sets and partial homogeneous Cantor sets.They get that both homogeneous Cantor sets and partial homogeneous Cantor sets have a property that their upper box dimension and co-dimension are equivalent. |
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| Keywords: | homogeneous Cantor sets partial homogeneous Cantor sets upper box dimension co-dimension |
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