{"title":"Quasisymmetric minimality on packing dimension for homogeneous perfect sets","authors":"Shishuang Liu, Yanzhe Li, Jiaojiao Yang","doi":"arxiv-2407.20562","DOIUrl":null,"url":null,"abstract":"In this paper, we study the quasisymmetric packing minimality of homogeneous\nperfect sets, and obtain that a special class of homogeneous perfect sets with\n$\\operatorname{dim}_{P}E=1$ is quasisymmetrically packing minimal.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.20562","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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
$\operatorname{dim}_{P}E=1$ is quasisymmetrically packing minimal.