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arXiv · 2504.02425

Compact ultrametric spaces generated by labeled star graphs

Oleksiy Dovgoshey·Omer Cantor·Olga Rovenska
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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.

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Oleksiy Dovgoshey, Omer Cantor, Olga Rovenska. 2025-04-03. Compact ultrametric spaces generated by labeled star graphs. https://arxiv.org/abs/2504.02425

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