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2001/2002 Coordinate Functions of Space Filling Curves
James Foran
Real Anal. Exchange 27(1): 359-362 (2001/2002).

Abstract

Given a continuous function $X(t)$ mapping $[0,1]$ continuously onto $[0,1]$, several properties are given which this function must fulfill if there is to be another continuous function $Y(t)$ so that $(X(t),Y(t))$ takes the unit interval onto the unit square.

Citation

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James Foran. "Coordinate Functions of Space Filling Curves." Real Anal. Exchange 27 (1) 359 - 362, 2001/2002.

Information

Published: 2001/2002
First available in Project Euclid: 6 June 2008

zbMATH: 1018.26002
MathSciNet: MR1887867

Subjects:
Primary: 26A27

Keywords: continuous , perfect set , space-filling

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 1 • 2001/2002
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