Compact ultrametric spaces generated by labeled star graphs
General Topology
2025-04-04 v1
Abstract
Let US be the class of all ultrametric spaces generated by labeled star graphs. We prove that compact US-spaces are the completions of totally bounded ultrametric spaces generated by decreasingly labeled rays. We characterize the ultrametric spaces which are weakly similar to finite US-spaces and describe these spaces by certain four-point conditions.
Cite
@article{arxiv.2504.02425,
title = {Compact ultrametric spaces generated by labeled star graphs},
author = {Oleksiy Dovgoshey and Omer Cantor and Olga Rovenska},
journal= {arXiv preprint arXiv:2504.02425},
year = {2025}
}