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An Equivalent Condition for the Self Similar Sets on the Real Line to Have best coverings
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Acta Mathematica Sinica,English Series 2013年 第9期29卷 1637-1646页
作者： Jian Dong YIN Zuo Ling ZHOU Department of Mathematics Nanchang University Lingnan College Zhongshan University
In this paper, an equivalent condition for the self similar sets on the real line to have best coverings is given. As a result, it partly gives answer to the conjecture which was posed by Zhou and Feng [Zhou, Z. L., F... 详细信息
来源： 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
A NEGATIVE ANSWER TO A CONJECTURE ON SELF-SIMILAR SETS WITH OPEN SET CONDITION
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Analysis in Theory and Applications 2009年 第2期25卷 182-200页
作者： Jiandong Yin Nanchang University China
Zhou and Feng posed a conjecture on self-similar set in 2004. In this paper, a self-similar set is constructed which has a best covering but its natural covering is not a best one. Thus, we indeed give a negative answ... 详细信息
来源： 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
AN ANSWER TO A CONJECTURE ON SELF-SIMILAR SETS
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Analysis in Theory and Applications 2007年 第1期23卷 9-15页
作者： Baoguo Jia Shaoyuan Xu School of Mathematics and Scientific Computer Zhongshan University Guangzhou 510275 P. R. China School of Mathematics and Computer Science Gannan Teachers College Ganzhou 341000 P. R. China
In this paper, we construct a self-similar set which has a best covering but it is not the natural covering, thus negate the conjecture on self-similar sets posed by Z. Zhou in 2004.
来源： 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
NOTE ON THE PAPER “ AN NEGATIVE ANSWER TO A CONJECTURE ON THE SELF-SIMILAR SETS SATISFYING THE OPEN SET CONDITION”
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Analysis in Theory and Applications 2012年 第1期28卷 49-57页
作者： Shaoyuan Xu Wangbin Xu Gannan Normal University China Hubei Normal University China
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... 详细信息
来源： 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
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