The Hausdorff measure of the self-similar sets——The Koch curve

被引：0
|
作者：
周作领
机构：
来源：
Science China Mathematics | 1998年 / 07期
关键词：
self similar sets; Hausdorff measure and dimension; Koch curve;
D O I：
暂无
中图分类号：
O189 [拓扑（形势几何学）];
学科分类号：
070104 ;
摘要：
The self similar sets satisfying the open condition have been studied. An estimation of fractal, by the definition can only give the upper limit of its Hausdorff measure. So to judge if such an upper limit is its exact value or not is important. A negative criterion has been given. As a consequence, the Marion’s conjecture on the Hausdorff meas\| ure of the Koch curve has been proved invalid.
引用
收藏
页码：723 / 728
页数：6
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