Remarks on quasi-isometric non-embeddability into uniformly convex Banach spaces

Abstract

We construct a locally finite graph and a bounded geometry metric space which do not admit a quasi-isometric embedding into any uniformly convex Banach space. Connections with the geometry of $c_0$ and superreflexivity are discussed.

Cited by in corpus (1)

• Embeddings of proper metric spaces into Banach spaces