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A NEGATIVE ANSWER TO A CONJECTURE ON SELF-SIMILAR SETS WITH OPEN SET CONDITION 被引量:5

A NEGATIVE ANSWER TO A CONJECTURE ON SELF-SIMILAR SETS WITH OPEN SET CONDITION
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作者 Jiandong Yin
机构地区 Nanchang University
出处 《Analysis in Theory and Applications》 2009年第2期182-200,共19页 分析理论与应用(英文刊)
基金 Supported by the Provincial Natural Science Young Foundation of Jiangxi, China (No. 2008GQS0071)
关键词 self-similar set best covering natural covering Hausdorff measure self-similar set, best covering, natural covering, Hausdorff measure
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  • 1Zhou, Z.,and Feng, L.Twelve Open Problems on the Exact Value of the Hausdorff Measure and on Topological Entropy: a Brief Survey of Recent Results[].Nonlinearity.2004
  • 2Hutchinson,J. E.Fractals and Self-similarity[].Indiana University Mathematics Journal.1981
  • 3Wen,Z. Y.Mathematical Foundations of Fractal Geometry[]..2000
  • 4Falconer,K. J.The Geometry of Fractal Sets[]..1985
  • 5Zhou,Z.The Hausdorff Measure of the Self-similar Set-the Koch Curve[].Sci China Sen A:.1997
  • 6Falconer,K. J.Fractal Geometry-Mathematical Foundations and Applications[]..1990
  • 7Edgar,G. A.Measure, Topology, and Fractal Geometry[]..1990

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