Characterizations of Urysohn universal ultrametric spaces

In this article, using the existence of infinite equidistant subsets of closed balls, we first characterize the injectivity of ultrametric spaces for finite ultrametric spaces. This method also gives characterizations of the Urysohn universal ultrametric spaces. As an application, we find that the o...

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Bibliographic Details
Main Author: Ishiki Yoshito
Format: Article
Language:English
Published: De Gruyter 2025-07-01
Series:Analysis and Geometry in Metric Spaces
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Online Access:https://doi.org/10.1515/agms-2025-0024
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