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• W3080188355 abstract "The notion of the ultrametrics can be considered as a zero-dimensional analogue of ordinary metrics, and it is expected to prove ultrametric versions of theorems on metric spaces. In this paper, we provide ultrametric versions of the Arens--Eells isometric embedding theorem of metric spaces, the Hausdorff extension theorem of metrics, the Niemytzki--Tychonoff characterization theorem of the compactness, and the author's interpolation theorem of metrics and theorems on dense subsets of spaces of metrics." @default.
• W3080188355 created "2020-09-01" @default.
• W3080188355 creator A5072870097 @default.
• W3080188355 date "2020-08-24" @default.
• W3080188355 modified "2023-09-24" @default.
• W3080188355 title "An embedding, an extension, and an interpolation of ultrametrics" @default.
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• W3080188355 doi "https://doi.org/10.48550/arxiv.2008.10209" @default.
• W3080188355 hasPublicationYear "2020" @default.
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