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Isometric embeddings of pretangent spaces in E^n

Metric Geometry 2011-08-02 v1 Geometric Topology

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.

Keywords

Cite

@article{arxiv.1108.0276,
  title  = {Isometric embeddings of pretangent spaces in E^n},
  author = {V. Bilet and O. Dovgoshey},
  journal= {arXiv preprint arXiv:1108.0276},
  year   = {2011}
}

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17 pages