A geometrization of Lebesgue's space-filling curve
type: Item
instance of: scholarly article
title: A geometrization of Lebesgue's space-filling curve
zbMATH Open document ID: 0795.54022
DOI: 10.1007/BF03024322
author: Hans Sagan
published in: The Mathematical Intelligencer
publication date: 1994-01-02T00:00:00Z
review text: This note is a clear expository paper on space-filling curves (Osgood's curve, Lebesgue's curve, Peano's curve). Relations between different proofs are shown and some figures are provided to make easier the understanding of the limit constructions.
Mathematics Subject Classification ID: 54C10
zbMATH DE Number: 475077
zbMATH Keywords: limit of a family of curves
zbMATH Keywords: Osgood's curve
zbMATH Keywords: space-filling curves
zbMATH Keywords: Lebesgue's curve
zbMATH Keywords: Peano's curve
reviewed by: Ofelia T. Alas
MaRDI profile type: Publication
cites work: Q5565770
cites work: Arcs with Positive Measure and a Space-Filling Curve
cites work: Some reflections on the emergence of space-filling curves: The way it could have happened and should have happened, but did not happen
cites work: On the geometrization of the Peano curve and the arithmetization of the Hilbert curve
cites work: Q4016781
full work available at URL: https://doi.org/10.1007/bf03024322
OpenAlex ID: W2079164859
description: scientific article; zbMATH DE number 475077