2018/01/28 by Yingqing Xiao, Zhanqi Zhang, Xiao, Yingqing +1 · 1 citation
Mathematics · #Advanced Topology and Set Theory #Analytic and geometric function theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.1801.09188
openalex publication_date 2018/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Z. Wen and J. Wu introduced the notion of homogeneous perfect sets as a generalization of Cantor type sets and determined their exact Hausdorff dimension based on the length of their fundamental intervals and the gaps between them. In this paper, we considered the minimality of the homogeneous perfect sets with Hausdorff dimension 1 and proved they are 1-dimensional quasisymmetrically minimal under some conditions.