Perfect sets of finite class without the extension property
Studia Mathematica (1997)
- Volume: 126, Issue: 2, page 161-170
- ISSN: 0039-3223
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topGoncharov, A.. "Perfect sets of finite class without the extension property." Studia Mathematica 126.2 (1997): 161-170. <http://eudml.org/doc/216449>.
@article{Goncharov1997,
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.},
author = {Goncharov, A.},
journal = {Studia Mathematica},
keywords = {generalized Cantor sets; extension property; extension operator; potential theory},
language = {eng},
number = {2},
pages = {161-170},
title = {Perfect sets of finite class without the extension property},
url = {http://eudml.org/doc/216449},
volume = {126},
year = {1997},
}
TY - JOUR
AU - Goncharov, A.
TI - Perfect sets of finite class without the extension property
JO - Studia Mathematica
PY - 1997
VL - 126
IS - 2
SP - 161
EP - 170
AB - 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.
LA - eng
KW - generalized Cantor sets; extension property; extension operator; potential theory
UR - http://eudml.org/doc/216449
ER -
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