Distortion in the finite determination result for embeddings of locally finite metric spaces into Banach spaces

Sofiya Ostrovska, Mikhail I. Ostrovskii

Given a Banach space $X$ and a real number $\alpha \ge 1$, we write: (1) $D(X)\le \alpha$ if, for any locally finite metric space $A$, all finite subsets of which admit bilipschitz embeddings…