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arxiv: 1205.2094 · v3 · pith:AHBA7BVInew · submitted 2012-05-09 · 🧮 math.MG

On the Hausdorff dimension of ultrametric subsets in R^n

classification 🧮 math.MG
keywords dimensionhausdorfflargerultrametricdistortioneverymustsubset
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For every e>0, any subset of R^n with Hausdorff dimension larger than (1-e)n must have ultrametric distortion larger than 1/(4e).

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