Lipschitz Image of Lipschitz Functions

Marianna Csörnyei

doi:rae/1212412869

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Home > Journals > Real Anal. Exchange > Volume 27 > Issue 2 > Article

2001/2002 Lipschitz Image of Lipschitz Functions

Marianna Csörnyei

Real Anal. Exchange 27(2): 735-738 (2001/2002).

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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.