Lipschitz-free spaces, ultraproducts, and finite representability of metric spaces

Luis C. García-Lirola, G. Grelier

We study several properties and applications of the ultrapower $M_{\mathcal{U}}$ of a metric space $M$. We prove that the Lipschitz-free space $\mathcal{F}(M_{\mathcal{U}})$ is finite…