NONEXTENDIBLE FUNCTIONS CHARACTERIZE DENSE G-DELTA-S IN METRIZABLE-SPACES

被引：0
|
作者：
VANDOUWEN, EK
机构：
来源：
TOPOLOGY AND ITS APPLICATIONS | 1993年 / 51卷 / 02期
关键词：
METRIZABLE SPACES; LAVRENTIEV THEOREM; DENSE G-DELTA SETS; CONTINUOUS EXTENSIONS;
D O I：
10.1016/0166-8641(93)90151-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A subset G of a metrizable space M is a dense G(delta) iff there is a continuous bounded real-valued function defined on G which for no X is-an-element-of M - G can be extended continuously over G or {x}. A consequence of this is that a certain result of Lavrentiev has no measure theoretic analogue.
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页码：187 / 190
页数：4
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