Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658450 | Topology and its Applications | 2014 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Wen Wang, Shengyou Wen,