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NOTE ON THE PAPER “ AN NEGATIVE ANSWER TO A CONJECTURE ON THE SELF-SIMILAR SETS SATISFYING THE OPEN SET CONDITION”
基金项目:Supported in part by National Natural Science Foundation of China (No.10961003)
摘    要:In this paper,we present a more simple and much shorter proof for the main result in the paper " An negative answer to a conjecture on the self-similar sets satisfying the open set condition",which was published in the journal Analysis in Theory and Applications in 2009.

关 键 词:self-similar set  best covering  natural covering  Hausdorff measure and Hausdorff dimension

NOTE ON THE PAPER " AN NEGATIVE ANSWER TO A CONJECTURE ON THE SELF-SIMILAR SETS SATISFYING THE OPEN SET CONDITION"
Shaoyuan Xu , Wangbin Xu. NOTE ON THE PAPER " AN NEGATIVE ANSWER TO A CONJECTURE ON THE SELF-SIMILAR SETS SATISFYING THE OPEN SET CONDITION"[J]. Analysis in Theory and Applications, 2012, 28(1): 49-57. DOI: 10.4208/ata.2012.v28.n1.6
Authors:Shaoyuan Xu & Wangbin Xu
Affiliation:Shaoyuan XuShaoyuan Xu (Gannan Normal University,China)Wangbin Xu(Hubei Normal University,China)
Abstract:In this paper,we present a more simple and much shorter proof for the main result in the paper " An negative answer to a conjecture on the self-similar sets satisfying the open set condition",which was published in the journal Analysis in Theory and Applications in 2009.
Keywords:self-similar set  best covering  natural covering  Hausdorff measure and Hausdorff dimension
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