Topological invariants and Lipschitz equivalence of fractal squares

DOI10.1016/j.jmaa.2017.02.012zbMath1359.28009OpenAlexW2588654691MaRDI QIDQ517957

Huo-Jun Ruan, Yang Wang

Publication date: 28 March 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.02.012

zbMATH Keywords

Lipschitz equivalencecut indexfractal squareperipheral circle

Mathematics Subject Classification ID

Fractals (28A80) Topological invariants on manifolds (58K65)

Related Items (17)

On the existence of cut points of connected generalized Sierpiński carpets ⋮ 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 ⋮ Lipschitz equivalence of self-similar sets with two-state neighbor automaton ⋮ Gap sequences and Topological properties of Bedford–McMullen sets* ⋮ ON THE TOPOLOGICAL CLASSIFICATION OF FRACTAL SQUARES ⋮ Self‐similar sets, simple augmented trees and their Lipschitz equivalence ⋮ A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES ⋮ Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification ⋮ A dimension drop phenomenon of fractal cubes ⋮ Differentiable points of Sierpinski-like sponges ⋮ REMARKS ON QUASISYMMETRIC RIGIDITY OF SQUARE SIERPIŃSKI CARPETS ⋮ Fractal squares with finitely many connected components ^* ⋮ Algebraic criteria for Lipschitz equivalence of dust‐like self‐similar sets ⋮ A NOTE ON TOPOLOGY OF FRACTAL SQUARES WITH ORDER THREE ⋮ WHEN DOES A BEDFORD–MCMULLEN CARPET HAVE EQUAL HAUSDORFF AND TOPOLOGICAL HAUSDORFF DIMENSIONS?

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