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