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A criterion for self-similar sets to be totally disconnected

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Publication:6047176
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DOI10.5186/aasfm.2021.4671OpenAlexW3200029484MaRDI QIDQ6047176

Unnamed Author, Dong-Hong Xiong

Publication date: 7 September 2023

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2021.4671


zbMATH Keywords

finite typetotally disconnectedself-similar setE-connected family


Mathematics Subject Classification ID

Fractals (28A80)





Cites Work

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  • Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets
  • Geometric models for quasicrystals. I. Delone sets of finite type
  • Topological structure of fractal squares
  • Separation Conditions for Iterated Function Systems with Overlaps
  • HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
  • Disklikeness of planar self-affine tiles
  • On the structure of self-similar sets
  • On the Connectedness of Self-Affine Tiles
  • Topology and separation of self-similar fractals in the plane
  • Disk-like self-affine tiles in \(\mathbb{R}^2\)




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