NOTE ON THE PAPER “ AN NEGATIVE ANSWER TO A CONJECTURE ON THE SELF-SIMILAR SETS SATISFYING THE OPEN SET CONDITION”  

NOTE ON THE PAPER “ AN NEGATIVE ANSWER TO A CONJECTURE ON THE SELF-SIMILAR SETS SATISFYING THE OPEN SET CONDITION”

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作  者:Shaoyuan Xu Wangbin Xu 

机构地区:[1]Gannan Normal University,China [2]Hubei Normal University,China

出  处:《Analysis in Theory and Applications》2012年第1期49-57,共9页分析理论与应用(英文刊)

基  金: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 satisfy- ing the open set condition", which was published in the journal Analysis in Theory and Applications in 2009.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 satisfy- ing 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 andHausdorff dimension 

分 类 号:O174.12[理学—数学] TS802.2[理学—基础数学]

 

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