Abstract
It is shown that there is a constantK so that, for every separable metric spaceX, there is a mapT:X →c o satisfyingd(x, y)≦‖Tx−Ty‖≦Kd(x, y) for everyx, y ∈ X.
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This is a part of the author's Ph.D. Thesis prepared at the Hebrew University of Jerusalem, under the supervision of Professor J. Lindenstrauss.
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Aharoni, I. Every separable metric space is Lipschitz equivalent to a subset ofc +0 . Israel J. Math. 19, 284–291 (1974). https://doi.org/10.1007/BF02757727
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DOI: https://doi.org/10.1007/BF02757727