Relations among Whitney sets, self-similar arcs and quasi-arcs

DOI10.1007/BF02807200zbMath1053.28005MaRDI QIDQ1424111

Zhiying Wen, Li-Feng Xi

Publication date: 8 March 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionLipschitz equivalentquasi-arcsself-similar arcsWhitney sets

Mathematics Subject Classification ID

Fractals (28A80)

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Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios, Lipschitz equivalence of self-similar sets with exact overlaps, Self-similar sets with initial cubic patterns, The geometry of Whitney's critical sets, On strict Whitney arcs and \(t\)-quasi self-similar arcs, Structural instability of cookie-cutter sets, Sliding of self-similar sets, Constructing Whitney sets via IFS with condensation, Lipschitz equivalence of fractal sets in \(\mathbb R\), On the structure of self-affine Jordan arcs in \(\mathbb{R}^2\), Bilipschitz embedding of self-similar sets, SPACE-FILLING CURVES OF SELF-SIMILAR SETS (III): SKELETONS, Classification of Moran fractals, QUASI-LOWER DIMENSION AND QUASI-LIPSCHITZ MAPPING, Iterated function system quasiarcs, Lipschitz equivalence of a class of general Sierpinski carpets, Lipschitz equivalence of fractal triangles, Hölder parameterization of iterated function systems and a self-affine phenomenon, Lipschitz equivalence of generalized \(\{1,3,5\}-\{1,4,5\}\) self-similar sets, Quasi-Lipschitz equivalence of fractals, Lipschitz equivalence of self-similar sets with triangular pattern, LIPSCHITZ EQUIVALENCE OF GENERAL SIERPINSKI CARPETS, Algebraic criteria for Lipschitz equivalence of dust‐like self‐similar sets, Lipschitz equivalence of self-similar sets

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