A Lipschitz map $f: \mathcal{C} \to H$ for the Hadamard space $H$. Sketch of the construction

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72701We introduce the sketch of construction of a Lipschitz function $f: \mathcal{C} \to H$, here the set $\mathcal{C}$ consists of all compact convex subsets of the Hadamard space $H$. Note that $f(\{x\})=\{x\}$ for any point $x \in H$.Brief noteMetric Geometry51F99A Lipschitz map $f: \mathcal{C} \to H$ for the Hadamard space $H$. Sketch of the constructiontext