The Metric Approximation Property and Lipschitz-Free Spaces over Subsets of ${\mathbb{R}}^N$

Eva Pernecká, Richard J. Smith

We prove that for certain subsets $M\subseteq {\mathbb{R}}^N$, $N⩾1$, the Lipschitz-free space $\mathcal{F}(M)$ has the metric approximation property (MAP), with respect t…