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Uniform Embeddings into Hilbert Space and a Question of Gromov

  Published:2002-03-01
 Printed: Mar 2002
  • A. N. Dranishnikov
  • G. Gong
  • V. Lafforgue
  • G. Yu
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Abstract

Gromov introduced the concept of uniform embedding into Hilbert space and asked if every separable metric space admits a uniform embedding into Hilbert space. In this paper, we study uniform embedding into Hilbert space and answer Gromov's question negatively.
MSC Classifications: 46C05 show english descriptions Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 46C05 - Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
 

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