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A remark on almost extensions of lipschitz functions

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Abstract

We present a simpler proof of a result of J. Bourgain on almost extensions of functions satisfying a Lipschitz condition onδ-nets.

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References

  1. J. Bourgain,Remarks on the extension of Lipschitz maps defined on discrete sets and uniform homeomorphisms, inGeometrical Aspects of Functional Analysis (J. Lindenstrauss and V. D. Milman, eds.), Proceedings of the GAFA Seminar, 1985–86, Lecture Notes in Mathematics, Vol. 1267, Springer-Verlag, Berlin, 1987, pp. 157–167.

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Authors and Affiliations

  1. Department of Mathematics, Technion — Israel Institute of Technology, 32000, Haifa, Israel

    Boris Begun

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  1. Boris Begun
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Correspondence to Boris Begun.

Additional information

This is part of the author’s Master Thesis written at the Technion — Israel Institute of Technology, under the supervision of Prof. Yoav Benyamini.

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Begun, B. A remark on almost extensions of lipschitz functions. Isr. J. Math. 109, 151–155 (1999). https://doi.org/10.1007/BF02775032

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  • DOI: https://doi.org/10.1007/BF02775032

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