On type of metric spaces

J. Bourgain; Vitali Milman; H. Wolfson

doi:10.1090/S0002-9947-1986-0819949-8

On type of metric spaces

J. Bourgain, Vitali Milman, H. Wolfson

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

71 Scopus citations

Abstract

Families of finite metric spaces are investigated. A notion of metric type is introduced and it is shown that for Banach spaces it is consistent with the standard notion of type. A theorem parallel to the Maurey-Pisier Theorem in Local Theory is proved. Embeddings of l_p-cubes into the l₁-cube (Hamming cube) are discussed.

Original language	English
Pages (from-to)	295-317
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	294
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1986-0819949-8
State	Published - Mar 1986

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On type of metric spaces

Abstract

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