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The net measure properties of symmetric Cantor sets and their applications

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【Author】 FENG Dejun , RAO Hui and WU Jun(Department of Mathematics, Wuhan University, Wuhan 430072, China)

【机构】 Department of Mathematics； Wuhan University； Wuhan 430072； China； China；

【摘要】 <正> The equivalence between Hausdorff measure induced by natural covering net and Hausdorff measure in usual meaning has been obtained for one-dimensional symmetric Cantor sets. As an application, the Hausdorff dimensions of such sets are determined.更多还原

【Abstract】 The equivalence between Hausdorff measure induced by natural covering net and Hausdorff measure in usual meaning has been obtained for one-dimensional symmetric Cantor sets. As an application, the Hausdorff dimensions of such sets are determined.更多还原

【关键词】 symmetric Cantor sets； net measure； Hausdorff measure； Hausdorff dimension.；
【Key words】 symmetric Cantor sets； net measure； Hausdorff measure； Hausdorff dimension.；

【基金】 Project supported by the National Natural Science Foundation of China.

【文献出处】 Progress in Natural Science ,自然科学进展(英文版) , 编辑部邮箱 ,1997年02期

【分类号】O29
【被引频次】23
【下载频次】171

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