Perfect sets of finite class without the extension property

Goncharov, A.

Goncharov, A.

Studia Mathematica, Tome 122 (1997), p. 161-170 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1997-01-01

Zbl 0911.46016

EUDML-ID : urn:eudml:doc:216449

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     author = {A. Goncharov},
     title = {Perfect sets of finite class without the extension property},
     journal = {Studia Mathematica},
     volume = {122},
     year = {1997},
     pages = {161-170},
     zbl = {0911.46016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv126i2p161bwm}
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Goncharov, A. Perfect sets of finite class without the extension property. Studia Mathematica, Tome 122 (1997) pp. 161-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv126i2p161bwm/

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