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Remarks on the extension of lipschitz maps defined on discrete sets and uniform homeomorphisms

Part of the Lecture Notes in Mathematics book series (LNM,volume 1267)

Keywords

  • Banach Space
  • Euclidean Sphere
  • Spherical Section
  • Pointwise Inequality
  • Simple Compactness Argument

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References

  1. Y. BENJAMINI: The uniform classification of Banach spaces (expository paper), Longhorn notes, University of Texas, Austin, 1984–85, 15–39.

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  2. J. BOURGAIN, V. D. MILMAN, H. WOLFSON: On type of metric spaces, Trans. Amer. Math. Soc. 294 (1986), 205–317.

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  3. T. FIGIEL, J. LINDENSTRAUSS, V. D. MILMAN: The dimension of almost spherical sections of convex bodies, Acta Math. 139 (1977), 53–94.

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  4. V. D. MILMAN, G. SCHECHTMAN, Asymptotic theory of finite dimensional normed spaces, Springer LNM, Vol 1200.

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© 1987 Springer-Verlag

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Bourgain, J. (1987). Remarks on the extension of lipschitz maps defined on discrete sets and uniform homeomorphisms. In: Lindenstrauss, J., Milman, V.D. (eds) Geometrical Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078143

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  • DOI: https://doi.org/10.1007/BFb0078143

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18103-3

  • Online ISBN: 978-3-540-47771-6

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