ON THE TOPOLOGICAL CLASSIFICATION OF FRACTAL SQUARES

DOI10.1142/S0218348X17500281zbMath1371.28027MaRDI QIDQ5363867

Sheng You Wen, Xiao-Hua Wang, Feng Rao

Publication date: 2 October 2017

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

topological equivalenceLipschitz equivalencefractal square

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (9)

Topology automaton of self-similar sets and its applications to metrical classifications ⋮ LIPSCHITZ EQUIVALENCE OF SELF-SIMILAR SETS AND FINITE-STATE AUTOMATON ⋮ INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS ⋮ FRACTAL NECKLACES WITH NO CUT POINTS ⋮ A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES ⋮ Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification ⋮ Topological invariants and Lipschitz equivalence of fractal squares ⋮ REMARKS ON QUASISYMMETRIC RIGIDITY OF SQUARE SIERPIŃSKI CARPETS ⋮ A NOTE ON TOPOLOGY OF FRACTAL SQUARES WITH ORDER THREE

Cites Work

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• Lipschitz equivalence of fractals generated by nested cubes
• Topological invariants and Lipschitz equivalence of fractal squares
• Higher dimensional Frobenius problem and Lipschitz equivalence of Cantor sets
• Lipschitz equivalence of self-similar sets and hyperbolic boundaries
• Quasisymmetric rigidity of square Sierpiński carpets
• Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
• Topological characterization of the Sierpiński curve
• On the Lipschitz equivalence of Cantor sets
• Lipschitz equivalence of a pair of fractal squares
• LIPSCHITZ EQUIVALENCE OF SELF-SIMILAR SETS AND FINITE-STATE AUTOMATON

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