Branching Geodesics of the Gromov-Hausdorff Distance

In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov–Hausdorff distance.We then construct branching geo...

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Bibliographic Details
Main Author: Ishiki Yoshito
Format: Article
Language:English
Published: De Gruyter 2022-08-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2022-0136