Coarse embeddings of metric spaces into Banach spaces

Details Coarse embeddings of metric spaces into Banach spaces Coarse embeddings of metric spaces into Banach spaces

2004-04-22

arxiv.org/abs/math/0404401v1

Mathematics

Metric Geometry

8 pages

Scientific paper

There are several characterizations of coarse embeddability of a discrete metric space into a Hilbert space. In this note we give such characterizations for general metric spaces. By applying these results to the spaces $L_p(\mu)$, we get their coarse embeddability into a Hilbert space for $0

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