A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES

DOI10.1142/S0218348X20501157zbMath1445.28021OpenAlexW3029330243MaRDI QIDQ5129925

Yanfang Zhang

Publication date: 3 November 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20501157

zbMATH Keywords

connected componentfractal squaretopological Hausdorff dimension

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (5)

INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS ⋮ A dimension drop phenomenon of fractal cubes ⋮ Dimension drop of connected part of slicing self-affine sponges ⋮ On the connected components of IFS fractals ⋮ WHEN DOES A BEDFORD–MCMULLEN CARPET HAVE EQUAL HAUSDORFF AND TOPOLOGICAL HAUSDORFF DIMENSIONS?

Cites Work

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• Topological structure of fractal squares
• Iterated function systems and the global construction of fractals
• Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification
• ON THE TOPOLOGICAL CLASSIFICATION OF FRACTAL SQUARES

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