Article ID Journal Published Year Pages File Type
4658450 Topology and its Applications 2014 15 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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