Perfect sets of finite class without the extension property
Date
1997
Authors
Goncharov, A.
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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.
Source Title
Studia Mathematica
Publisher
Polish Academy of Sciences, Institute of Mathematics
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English