Path Connectivity of Spheres in the Gromov-Hausdorff Class
Metric Geometry
2022-04-06 v2
Abstract
The paper is devoted to geometrical investigation of the Gromov-Hausdorff distance on the classes of all metric spaces and of all bounded metric spaces. The main attention is paid to pass connectivity questions. The pass connected components of the Gromov-Hausdorff class of all metric spaces are described, and the pass connectivity of spheres is proved in several particular cases.
Cite
@article{arxiv.2111.06709,
title = {Path Connectivity of Spheres in the Gromov-Hausdorff Class},
author = {A. Ivanov and R. Tsvetnikov and A. Tuzhilin},
journal= {arXiv preprint arXiv:2111.06709},
year = {2022}
}
Comments
16 pages