Quasisymmetrically minimal homogeneous perfect sets
arXiv:1009.1799
Abstract
In \cite{ZW}, the notion of homogenous perfect set as a generalization of Cantor type sets is introduced. Their Hausdorff, lower box-counting, upper box-counting and packing dimensions are studied in \cite{ZW} and \cite{WW}. In this paper, we show that the homogenous perfect set be minimal for 1-dimensional quasisymmetric maps, which generalize the conclusion in \cite{MS} about the uniform Cantor cantor set to the homogenous perfect set.
arXiv comment13 pages