| 摘要: |
| 本文研究齐次完全集的拟对称极小性问题. 利用二次重构的方法, 以质量分布原理为工具, 得到了一类填充维数为1的齐次完全集是拟对称填充极小集, 拓展了已有文献的结论. |
| 关键词: 拟对称映射 填充维数 齐次完全集 拟对称极小集 |
| DOI： |
| 分类号:O.189 |
| 基金项目:国家自然科学基金项目：广西自然科学基金项目 |
|
| {QUASYSYMMETRIC MINIMALITY ON PACKING DIMENSION FOR A CLASS OF HOMOGENEOUS PERFECT SETS |
|
Liu Pingping,Li Yanzhe
|
|
Guangxi University
|
| Abstract: |
| In this paper, we study the quasisymmetric minimality of homogeneous perfect sets. We obtain that a special class of homogeneous perfect sets with packing dimension 1 is quasisymmetrically packing minimal by re-constructing the sets twice and using the mass distribution principle, which expands the previous results. |
| Key words: quasisymmetric mapping packing dimension homogeneous perfect sets quasisymmetrically minimal sets |
