English

Hausdorff Realization of Linear Geodesics of Gromov-Hausdorff Space

Metric Geometry 2019-04-22 v1

Abstract

We have constructed a realization of rectilinear geodesic (in the sense of~\cite{Memoli2018}), lying in Gromov-Hausdorff space, as a shortest geodesic w.r.t. the Hausdorff distance in an ambient metric space.

Keywords

Cite

@article{arxiv.1904.09281,
  title  = {Hausdorff Realization of Linear Geodesics of Gromov-Hausdorff Space},
  author = {Alexander O. Ivanov and Alexey A. Tuzhilin},
  journal= {arXiv preprint arXiv:1904.09281},
  year   = {2019}
}

Comments

5 pages, 1 figure