Stability of the Lipschitz extension property under metric transforms |
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| Authors: | Yu Brudnyi P Shvartsman |
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| Institution: | (1) Department of Mathematics, Technion — Israel Institute of Technology, 32000 Haifa, Israel, e-mail: ybrudnyi@tx.technion.ac.il, IL;(2) Department of Mathematics, Technion — Israel Institute of Technology, 32000 Haifa, Israel, e-mail: pshv@tx.technion.ac.il, IL |
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| Abstract: | We show that the linear and nonlinear Lipschitz extension properties of a metric space are not changed when the original
metric is replaced by a new metric obtained by composition with an arbitrary concave function.
Submitted: January 2001, Revised: February 2001. |
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