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

Piotr W. Nowak
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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.

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Piotr W. Nowak. 2015-01-28. Remarks on quasi-isometric non-embeddability into uniformly convex Banach spaces. https://arxiv.org/abs/math/0506178

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