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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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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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