Locally finite ultrametric spaces and labeled trees

dc.contributor.author	Dovgoshey, O.
dc.contributor.author	Kostikov, O. A.
dc.contributor.author	Костіков, О. А.
dc.date.accessioned	2025-12-01T18:35:26Z
dc.date.issued	2023
dc.description.abstract	It is shown that a locally finite ultrametric space (X, d) is generated by labeled tree if and only if, for every open ball B ⊆ X, there is a point c ∈ B such that d(x, c) = diam B whenever x ∈ B and x 6= c. For every finite ultrametric space Y we construct an ultrametric space Z having the smallest possible number of points such that Z is generated by labeled tree and Y is isometric to a subspace of Z. It is proved that for a given Y , such a space Z is unique up to isometry.
dc.identifier.citation	Dovgoshey O., Kostikov A. Locally finite ultrametric spaces and labeled trees. Journal of Mathematical Sciences. 2023. Vol. 276. P. 614–637. DOI: https://doi.org/10.1007/s10958-023-06786-3
dc.identifier.citation	Dovgoshey, O., Kostikov, A. (2023). Locally finite ultrametric spaces and labeled trees. J Math Sci, 276, 614–637. doi: https://doi.org/10.1007/s10958-023-06786-3
dc.identifier.doi	https://doi.org/10.1007/s10958-023-06786-3
dc.identifier.issn	1573-8795
dc.identifier.uri	https://dspace.mipolytech.education/handle/mip/3025
dc.language.iso	en
dc.publisher	Springer
dc.title	Locally finite ultrametric spaces and labeled trees
dc.type	Article

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