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Showing 1 to 2 of 2 for “"Bi-Lipschitz embedding"”.

  1. A characterization of Bi-Lipschitz embeddable metric spaces in terms of local Bi-Lipschitz embeddability

    Seo, JeehyeonUniversity of Illinois at Urbana-Champaign2011

    … complete, doubling metric spaces which embed bi-Lipschitzly into Euclidean space. Our result applies in particular to spaces of Grushin type equipped with Carnot-Carath ́eodory distance. Hence we obtain the first example of a sub-Riemannian manifold admitting such a bi-Lipschitz embedding. Our …

    uiuc Repository record

  2. Metric geometry of the Grushin plane and generalizations

    Romney, MatthewUniversity of Illinois at Urbana-Champaign2018

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms

    uiuc Repository record