On metric Ramsey-type phenomena

Yair Bartal,Nathan Linial,Manor Mendel,Assaf Naor

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Geometric interpretation of cotype
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18 days ago
Ken ▴ 45

In corollary 2.9 the authors show that for a normed space X having finite cotype is equivalent to a bound on the size of the largest subset of any n-point metric space which can embed into X with a fixed distortion.

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What is a geometric interpretation of cotype and how does it naturally relate to n-point metric spaces being embeddable?

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