On strict Whitney arcs and \(t\)-quasi self-similar arcs

zbMath1403.28008arXiv1703.10665MaRDI QIDQ1670787

Peng Zhang

Publication date: 6 September 2018

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

Full work available at URL: https://arxiv.org/abs/1703.10665

zbMATH Keywords

Hausdorff dimensionWhitney setself-similar arc\(t\)-quasi-self-similar arcHausdorff measure functionWhitney function

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory in general topology (54F45)

Related Items (1)

Constant distance boundaries of the \(t\)-quasicircle and the Koch snowflake curve

Cites Work

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• Relations among Whitney sets, self-similar arcs and quasi-arcs
• A note on Whitney's critical sets
• The geometry of Whitney's critical sets
• Functions not Constant on Fractal Quasi-Arcs of Critical Points
• The measure of the critical values of differentiable maps

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