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1999/2000 Continuity and Differentiability Aspects of Metric Preserving Functions
Robert W. Vallin
Real Anal. Exchange 25(2): 849-868 (1999/2000).


A function $f$ is metric preserving if for every metric space $(M,\rho)$ we have that $f \circ \rho$ is still a metric on $M$. In this article we look at the behavior of such functions with respect to continuity and differentiability. We include several pathological examples and some open questions.


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Robert W. Vallin. "Continuity and Differentiability Aspects of Metric Preserving Functions." Real Anal. Exchange 25 (2) 849 - 868, 1999/2000.


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

zbMATH: 1016.26004
MathSciNet: MR1778537

Primary: 54E30
Secondary: 26A21 , 54E35

Keywords: continuity , differentiability , metric spaces

Rights: Copyright © 1999 Michigan State University Press

Vol.25 • No. 2 • 1999/2000
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