A sequence of compact metric spaces and an isometric embedding into the Gromov-Hausdorff space
Metric Geometry
2025-08-12 v2 General Topology
Abstract
For a convergent series with positive terms, we prove that the product space of bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space, where each subspace consists of compact metric spaces with the diameter less than or equal to the term.
Keywords
Cite
@article{arxiv.2507.07449,
title = {A sequence of compact metric spaces and an isometric embedding into the Gromov-Hausdorff space},
author = {Takuma Byakuno},
journal= {arXiv preprint arXiv:2507.07449},
year = {2025}
}