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

Guy David, and Marie Snipes. "A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension." Analysis and Geometry in Metric Spaces 1 (2013): 36-41. <http://eudml.org/doc/267210>.

@article{GuyDavid2013,
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.},
author = {Guy David, Marie Snipes},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {Assouad Embedding; doubling metric spaces; snowflake distance; Assouad embedding; Snowflake distance},
language = {eng},
pages = {36-41},
title = {A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension},
url = {http://eudml.org/doc/267210},
volume = {1},
year = {2013},
}

TY - JOUR
AU - Guy David
AU - Marie Snipes
TI - A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension
JO - Analysis and Geometry in Metric Spaces
PY - 2013
VL - 1
SP - 36
EP - 41
AB - 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.
LA - eng
KW - Assouad Embedding; doubling metric spaces; snowflake distance; Assouad embedding; Snowflake distance
UR - http://eudml.org/doc/267210
ER -