On the Hausdorff dimension of ultrametric subsets in ℝⁿ
James R. Lee ; Manor Mendel ; Mohammad Moharrami
Fundamenta Mathematicae, Tome 219 (2012), p. 285-290 / Harvested from The Polish Digital Mathematics Library
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For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:283299 
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James R. Lee; Manor Mendel; Mohammad Moharrami. On the Hausdorff dimension of ultrametric subsets in ℝⁿ. Fundamenta Mathematicae, Tome 219 (2012) pp. 285-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm218-3-5/