• Title of article

    Compression of uniform embeddings into Hilbert space

  • Author/Authors

    Brodskiy، نويسنده , , N. and Sonkin، نويسنده , , D.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2008
  • Pages
    8
  • From page
    725
  • To page
    732
  • Abstract
    If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube complexes and for hyperbolic groups. In particular, we show that the Hilbert space compression of any hyperbolic group is 1.
  • Keywords
    Uniform embedding , Hyperbolic group , CAT(0) cubical complex , Hilbert space compression
  • Journal title
    Topology and its Applications
  • Serial Year
    2008
  • Journal title
    Topology and its Applications
  • Record number

    1581605

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1581605