Perfect sets of finite class without the extension property
Volume 126 / 1997
Studia Mathematica 126 (1997), 161-170
DOI: 10.4064/sm-126-2-161-170
Abstract
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.
