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# Quasisymmetrically Minimal Moran Sets

Published:2011-08-31
Printed: Jun 2013
• Mei-Feng Dai,
Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, 212013, China
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## Abstract

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 $c_{k}|I|$, leaving $(n_{k}+1)$ 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: quasisymmetric, Moran set, Hausdorff dimension