A natural compactification of the Gromov-Hausdorff space
Metric Geometry
2021-10-01 v1
Abstract
In this paper, we introduce a pseudometric on the family of isometry classes of (extended) metric spaces. Using it, we obtain a natural compactification of the Gromov-Hausdorff space, which is compatible with ultralimit.
Keywords
Cite
@article{arxiv.2109.14853,
title = {A natural compactification of the Gromov-Hausdorff space},
author = {Hiroki Nakajima and Takashi Shioya},
journal= {arXiv preprint arXiv:2109.14853},
year = {2021}
}
Comments
18 pages