A compact set without Markov’s property but with an extension operator for $C^∞$-functions
Studia Mathematica, Tome 119 (1996) no. 1, p. 27.

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We give an example of a compact set K ⊂ [0, 1] such that the space ℇ(K) of Whitney functions is isomorphic to the space s of rapidly decreasing sequences, and hence there exists a linear continuous extension operator L : ℇ ( K ) → C ∞ [ 0 , 1 ] . At the same time, Markov’s inequality is not satisfied for certain polynomials on K.
Classification : 46E10, 41A17
Mots-clés : compact set, Whitney functions, rapidly decreasing sequences, linear continuous extension operator, Markov's inequality 
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     title = {A compact set without {Markov{\textquoteright}s} property but with an extension operator for $C^\ensuremath{\infty}$-functions},
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Alexander Goncharov. A compact set without Markov’s property but with an extension operator for $C^∞$-functions. Studia Mathematica, Tome 119 (1996) no. 1, p. 27. https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_1_216284/