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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Citation

Published Version (Please cite this version)

Language

English