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math.MGAug 1, 2011
authors
  • V. Bilet
  • O. Dovgoshey
arXiv abstractPDF
paper

Isometric embeddings of pretangent spaces in E^n

arXiv:1108.0276

Abstract

We prove some infinitesimal analogs of classical results of Menger, Schoenberg and Blumenthal giving the existence conditions for isometric embeddings of metric spaces in the finite-dimensional Euclidean spaces.

17 pages

References in corpus (2)

  • Tangent spaces to metric spaces and to their subspaces
  • Metric spaces with unique pretangent spaces
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