Title

A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension

Document Type

Article

Publication Date

1-2013

Abstract

We give a non-probabilistic proof of a theorem of Naor and Neiman that asserts that if (E, d) is a doubling metric space, there is an integer N > 0, depending only on the metric doubling constant, such that for each exponent α ∈ (1/2; 1), one can find a bilipschitz mapping F = (E; dα ) ⃗ ℝ RN.

Journal

Analysis and Geometry in Metric Spaces

Volume

1

First Page

36

Last Page

41