Topological Classification of Fractal Squares

被引:0
|
作者
ZHANG Yanfang [1 ]
ZHANG Suxiang [1 ]
机构
[1] Science and Technology College, Hubei University of Art and Science
关键词
fractal square; topological property; topological classification;
D O I
10.19823/j.cnki.1007-1202.2020.0018
中图分类号
O18 [几何、拓扑];
学科分类号
0701 ; 070101 ;
摘要
A fractal square F is essentially a planar self-similar set satisfying the set equation F=(F+D)/n with n≥2 and D?{0,1,...,n-1};.In this paper,we study the topological classification of fractal squares in the case of n=4 and |D|=4.
引用
收藏
页码:105 / 108
页数:4
相关论文
共 50 条
  • [1] ON THE TOPOLOGICAL CLASSIFICATION OF FRACTAL SQUARES
    Rao, Feng
    Wang, Xiaohua
    Wen, Shengyou
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2017, 25 (03)
  • [2] Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification*
    Ma, Ji-hua
    Zhang, Yan-fang
    [J]. NONLINEARITY, 2020, 33 (11) : 6053 - 6071
  • [3] Topological structure of fractal squares
    Lau, Ka-Sing
    Luo, Jun Jason
    Rao, Hui
    [J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2013, 155 (01) : 73 - 86
  • [4] ON THE CLASSIFICATION OF FRACTAL SQUARES
    Luo, Jun Jason
    Liu, Jing-Cheng
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2016, 24 (01)
  • [5] Topological invariants and Lipschitz equivalence of fractal squares
    Ruan, Huo-Jun
    Wang, Yang
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 451 (01) : 327 - 344
  • [6] A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES
    Zhang, Yan-Fang
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (06)
  • [7] Gap sequences of fractal squares
    Liang, Zhen
    Ruan, Huo-Jun
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 472 (02) : 1475 - 1486
  • [8] Topological hierarchy insulators and topological fractal insulators
    He, Jing
    Liang, Ying
    Kou, Su-peng
    [J]. EPL, 2015, 112 (01)
  • [9] Topological classification of microglia topological classification of microglia
    Colombo, G.
    Venturino, A.
    Schulz, R.
    Kanari, L.
    Hess, K.
    Siegert, S.
    [J]. GLIA, 2019, 67 : E733 - E733
  • [10] The topological insulator in a fractal space
    Song, Zhi-Gang
    Zhang, Yan-Yang
    Li, Shu-Shen
    [J]. APPLIED PHYSICS LETTERS, 2014, 104 (23)