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Quasisymmetrically Minimal Moran Sets

Published online by Cambridge University Press:  20 November 2018

Mei-Feng Dai
Mei-Feng Dai*
Affiliation:
Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, 212013, China e-mail: [email protected]
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Abstract

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M. Hu and S. Wen considered quasisymmetrically minimal uniform Cantor sets of Hausdorff dimension 1, where at the $K$-th set one removes from each interval $I$ a certain number ${{n}_{k}}$ of open subintervals of length ${{c}_{k}}\left| I \right|$, leaving $\left( {{n}_{k}}\,+\,1 \right)$ closed subintervals of equal length. Quasisymmetrically Moran sets of Hausdorff dimension 1 considered in the paper are more general than uniform Cantor sets in that neither the open subintervals nor the closed subintervals are required to be of equal length.

Keywords

28A8054C30quasisymmetricMoran setHausdorff dimension
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 2 , 01 June 2013 , pp. 292 - 305
Copyright
Copyright © Canadian Mathematical Society 2013

References

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