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arxiv: 1203.1761 · v1 · pith:I4R24UOEnew · submitted 2012-03-08 · 🧮 math.MG

Embedding proper ultrametric spaces into ell_p and its application to nonlinear Dvoretzky's theorem

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keywords applicationdvoretzkynonlinearpropertheoremultrametricdiscussembedding
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We prove that every proper ultrametric space isometrically embeds into $\ell_p$ for any $p\geq 1$. As an application we discuss an $\ell_p$-version of nonlinear Dvoretzky's theorem.

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