2 papers
math.MG2016
Local Structure of Gromov-Hausdorff Space, and Isometric Embeddings of Finite Metric Spaces into this Space
Stavros Iliadis, Alexander Ivanov, Alexey Tuzhilin
We investigate the geometry of the family of isometry classes of compact metric spaces, endowed with the Gromov-Hausdorff metric. We show that sufficiently small neighborh…
math.MG2016
Realizations of Gromov-Hausdorff Distance
Alexander Ivanov, Stavros Iliadis, Alexey Tuzhilin
It is shown that for any two compact metric spaces there exists an "optimal" correspondence which the Gromov-Hausdorff distance is attained at. Each such correspondence generates i…