A geometrization of Lebesgue's space-filling curve

DOI10.1007/BF03024322zbMath0795.54022OpenAlexW2079164859MaRDI QIDQ1310258

Hans Sagan

Publication date: 2 January 1994

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03024322

zbMATH Keywords

space-filling curvesLebesgue's curvelimit of a family of curvesOsgood's curvePeano's curve

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10)

Related Items (3)

Area-filling curves ⋮ Planar substitutions to Lebesgue type space-filling curves and relatively dense fractal-like sets in the plane ⋮ The Jordan curve theorem is non-trivial

Cites Work

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• Some reflections on the emergence of space-filling curves: The way it could have happened and should have happened, but did not happen
• Arcs with Positive Measure and a Space-Filling Curve
• On the geometrization of the Peano curve and the arithmetization of the Hilbert curve

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