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arxiv: 1302.5896 · v1 · pith:6N5UNLT2new · submitted 2013-02-24 · 🧮 math.MG

Ball-preserving mappings of finite ultrametric spaces

classification 🧮 math.MG
keywords ball-preservingfinitespacesultrametricbijectionexistsisomorphicmappings
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It is shown that the rooted trees $T_X$ and $T_Y$ representing finite ultrametric spaces $X$ and $Y$ are isomorphic if and only if there exists a ball-preserving bijection $F:X\to Y$.

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