Quasisymmetric minimality on packing dimension for homogeneous perfect sets
Shishuang Liu, Yanzhe Li, Jiaojiao Yang
TL;DR
This paper investigates the quasisymmetric packing minimality of homogeneous perfect sets, establishing that certain sets with packing dimension 1 are minimal under quasisymmetric mappings.
Contribution
It introduces a specific class of homogeneous perfect sets with packing dimension 1 that are proven to be quasisymmetrically packing minimal.
Findings
Certain homogeneous perfect sets with packing dimension 1 are quasisymmetrically packing minimal.
The study advances understanding of the relationship between packing dimension and quasisymmetric minimality.
Provides conditions under which homogeneous perfect sets exhibit minimality under quasisymmetric maps.
Abstract
In this paper, we study the quasisymmetric packing minimality of homogeneous perfect sets, and obtain that a special class of homogeneous perfect sets with is quasisymmetrically packing minimal.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Digital Image Processing Techniques · Advanced Topology and Set Theory