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Compact ultrametric spaces generated by labeled star graphs (2504.02425v1)

Published 3 Apr 2025 in math.GN

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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