Geodesic
Perfect sets of finite class without the extension property
Studia Mathematica, Tome 126 (1997) no. 2, pp. 161-170 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that generalized Cantor sets of class α, α ≠ 2 have the extension property iff α 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. The result has some interconnection with potential theory. 
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A. Goncharov. Perfect sets of finite class without the extension property. Studia Mathematica, Tome 126 (1997) no. 2, pp. 161-170. doi: 10.4064/sm-126-2-161-170

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