Geodesic
A compact set without Markov's property but with an extension operator for $C^∞$-functions
Studia Mathematica, Tome 119 (1996) no. 1, pp. 27-35 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     author = {Alexander Goncharov},
     title = {A compact set without {Markov's} property but with an extension operator for $C^\ensuremath{\infty}$-functions},
     journal = {Studia Mathematica},
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     language = {en},
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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, pp. 27-35. doi: 10.4064/sm-119-1-27-35

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