Extendability of Large-Scale Lipschitz Maps
نویسندگان
چکیده
منابع مشابه
Absolute Lipschitz extendability
A metric space X is said to be absolutely Lipschitz extendable if every Lipschitz function f from X into any Banach space Z can be extended to any containing space Y ⊇ X , where the loss in the Lipschitz constant in the extension is independent of Y , Z, and f . We show that various classes of natural metric spaces are absolutely Lipschitz extendable. c © 2003 Académie des sciences/Éditions sci...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1999
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-99-02265-5