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Restrictions of smooth functions to a closed subset

Shuzo Izumi (2004)

Annales de l’institut Fourier

We first provide an approach to the conjecture of Bierstone-Milman-Pawłucki on Whitney’s problem on C d extendability of functions. For example, the conjecture is affirmative for classical fractal sets. Next, we give a sharpened form of Spallek’s theorem on flatness.

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