Area-filling curves

DOI10.1007/s00013-022-01704-6zbMath1498.26005arXiv2112.00691OpenAlexW4211064076MaRDI QIDQ2136113

Maria Chiara Nasso, Aljoša Volčič

Publication date: 10 May 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00691

zbMATH Keywords

space-filling curvesOsgood curvesOxtoby-Ulam theorem

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Cites Work

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• A geometrization of Lebesgue's space-filling curve
• Simple plane arcs of positive area
• Space-filling curves
• Measure-preserving homeomorphisms and metrical transitivity
• Introduction to Global Optimization Exploiting Space-Filling Curves
• The Elements of Cantor Sets
• Arcs with Positive Measure and a Space-Filling Curve
• A Proof of the Homeomorphism of Lebesgue-Stieltjes Measure with Lebesgue Measure
• How to Measure Volume with a Thread

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