On the Hausdorff dimension of ultrametric subsets in ℝⁿ

• Autorzy: James R. Lee , Manor Mendel , Mohammad Moharrami
• Języki publikacji: EN

Abstrakty

EN

For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).

Kategorie tematyczne

• 37F35: Conformal densities and Hausdorff dimension
• 30L05: Geometric embeddings of metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 218
• Numer: 3
• Strony: 285-290

Daty

wydano

2012

Twórcy

autor

James R. Lee

• Department of Computer Science, and Engineering, Box 352350, University of Washington, Seattle, WA 98195-2350, U.S.A.

autor

Manor Mendel

• Mathematics and, Computer Science Department, The Open University of Israel, 1 University Rd., P.O. Box 808, Raanana 43107, Israel

autor

Mohammad Moharrami

• Department of Computer Science and Engineering, Box 352350, University of Washington, Seattle, WA 98195-2350, U.S.A.

Identyfikatory

DOI

10.4064/fm218-3-5