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Quasisymmetrically Minimal Moran Sets |
Canad. Math. Bull. 56(2013), 292-305
Published:2011-08-31
Printed: Jun 2013
Printed: Jun 2013
- Mei-Feng Dai,
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 |
| MSC Classifications: |
28A80 - Fractals [See also 37Fxx] 54C30 - Real-valued functions [See also 26-XX] |