Journal of East China Normal University(Natural Sc ›› 2017, Vol. 2017 ›› Issue (2): 35-43.doi: 10.3969/j.issn.1000-5641.2017.02.005

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The quasisymmetric minimality of a class of homogeneous perfect sets

LI Yan-zhe   

  1. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China
  • Received:2016-08-23 Online:2017-03-25 Published:2017-03-23

Abstract:

In this paper we study quasisymmetric minimality of homogeneous perfect sets. By using principle of mass distribution, we prove that a class of homogeneous perfect sets of Hausdorff dimension 1 is quasisymmetrically Hausdorff minimal. A similar result for quasisymmetrically packing minimality is also obtained.

Key words: homogeneous perfect set, quasisymmetrically minimal sets, Hausdorff dimension, packing dimension

CLC Number: