Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces |
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| Authors: | Jinxiu Li Qin Wang |
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| Affiliation: | Department of Applied Mathematics, Dong Hua University, Shanghai 200051, PR China |
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| Abstract: | We study the support and convergence conditions for a metric space to be coarsely embeddable into a uniformly convex Banach space. By using ultraproducts we also show that the coarse embeddability of a metric space into a uniformly convex Banach space is determined by its finite subspaces. |
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| Keywords: | Coarse geometry Metric space Banach space Ultraproduct The Novikov conjecture |
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