Open Access
1999/2000 The Length of the Graph of a One to One Function from [0,1] to [0,1]
James Foran
Real Anal. Exchange 25(2): 809-816 (1999/2000).

Abstract

Upper and lower limits for the length of the graph of one to one, onto, Baire one functions from the unit interval to itself are shown to be infinity and one, respectively. Such functions having graphs of large dimension and non-measurable functions are also considered.

Citation

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James Foran. "The Length of the Graph of a One to One Function from [0,1] to [0,1]." Real Anal. Exchange 25 (2) 809 - 816, 1999/2000.

Information

Published: 1999/2000
First available in Project Euclid: 3 January 2009

zbMATH: 1016.26005
MathSciNet: MR1778534

Subjects:
Primary: 26A21 , 28A78

Keywords: function , graph , Hausdorff measure

Rights: Copyright © 1999 Michigan State University Press

Vol.25 • No. 2 • 1999/2000
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