Publication Date:
2013-11-27
Description:
We prove that for every ε∈(0,1) there exists Cε∈(0,∞) with the following property. If (X,d) is a compact metric space and μ is a Borel probability measure on X then there exists a compact subset S⊆X that embeds into an ultrametric space with distortion O(1/ε), and a probability measure ν...
Keywords:
Quantitative Geometry Special Feature
Print ISSN:
0027-8424
Electronic ISSN:
1091-6490
Topics:
Biology
,
Medicine
,
Natural Sciences in General
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