| 两均匀康托集双李卜希兹等价的条件 |
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| 引用本文： | 戴美凤,殷启正. 两均匀康托集双李卜希兹等价的条件[J]. 洛阳大学学报, 2002, 17(2): 18-20 |
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| 作者姓名： | 戴美凤 殷启正 |
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| 作者单位： | 江苏大学梦溪校区,数学系,江苏,镇江,212003 |
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| 摘 要： | 确定两个集是否为双李卜希兹等价是一个复杂的问题 .本文讨论两均匀康托集双李卜希兹等价的必要条件 ,从而说明尽管维数是双李卜希兹不变量 ,但两集仅具有相同的维数远不足以保证它们等价 .
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| 关 键 词： | 均匀康托集 维数 双李卜希兹等价 |
| 文章编号： | 1007-113X(2002)02-0018-03 |
| 修稿时间： | 2002-02-15 |
The Condition of Two Uniform Cantor Sets to Be Bi-Lipschitz Equivalent |
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| DAI Mei feng,YIN Qi zheng. The Condition of Two Uniform Cantor Sets to Be Bi-Lipschitz Equivalent[J]. Journal of Luoyang University, 2002, 17(2): 18-20 |
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| Authors: | DAI Mei feng YIN Qi zheng |
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| Abstract: | The problem of determining whether two sets are bi Lipschitz equivalence is complicated. In this paper, we discuss the necessary condition of two uniform Cantor sets to be bi Lipschitz equivalent. A dimention may be thought of as a bi Lipschitz in variant, but in general, this is far from enough to guarantee equivalance. |
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| Keywords: | uniform Cantor set dimension bi Lipschitz equivalent |
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