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For a compact set, we characterize the existence of a linear extensionoperator E for the space of Whitney jets without loss of derivatives, that is,E satisfies the best possible continuity estimates: The supremum of all partialderivatives up to order n of E(f) is less or equal than a constant times then-th Whitney norm of f. The characterization is a surprisingly simple purelygeometric condition telling in a way that at all its points, the set is bigenough in all directions.

Whitney extension operators without loss of derivatives