Abstract
We show that there exists a bi-Lipschitz homeomorphism $f\:RR\to \RR$ and a dense open set $U$ of the space of Lipschitz functions defined on $[0,1]$, for which $\{f\circ g\:, g\in U\}$ is of first category.
Citation
Marianna Csörnyei. "Lipschitz Image of Lipschitz Functions." Real Anal. Exchange 27 (2) 735 - 738, 2001/2002.
Information
Published: 2001/2002
First available in Project Euclid: 2 June 2008
zbMATH: 1045.26002
MathSciNet: MR1923162
Subjects:
Primary:
26A24
Keywords:
Lipschitz function
,
measure and category
,
null set
Rights: Copyright © 2001 Michigan State University Press
