## On type of metric spaces

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- by J. Bourgain, V. Milman and H. Wolfson PDF
- Trans. Amer. Math. Soc.
**294**(1986), 295-317 Request permission

## 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 ${l_1}$-cube (Hamming cube) are discussed.## References

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## Additional Information

- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**294**(1986), 295-317 - MSC: Primary 46B99; Secondary 46G99, 54E35, 58C99
- DOI: https://doi.org/10.1090/S0002-9947-1986-0819949-8
- MathSciNet review: 819949