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On quasisymmetric minimality of Cantor sets.

Authors :
Wang, Wen
Wen, Shengyou
Source :
Topology & Its Applications. Dec2014, Vol. 178, p300-314. 15p.
Publication Year :
2014

Abstract

We prove that uniform Cantor sets of Hausdorff dimension 1 are all quasisymmetrically minimal for Hausdorff dimension. An analog of this result for packing dimension is also obtained. From the proof a general sufficient condition for minimal Cantor sets can be formulated. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01668641
Volume :
178
Database :
Academic Search Index
Journal :
Topology & Its Applications
Publication Type :
Academic Journal
Accession number :
99508347
Full Text :
https://doi.org/10.1016/j.topol.2014.10.005