DENSE, SEQUENTIALLY CONTINUOUS-MAPS ON DYADIC COMPACTA

被引：0
|
作者：
ARHANGELSKII, AV
JUST, W
机构：
[1] MOSCOW MV LOMONOSOV STATE UNIV,MOSCOW,RUSSIA
[2] OHIO UNIV,DEPT MATH,ATHENS,OH 45701
来源：
TOPOLOGY AND ITS APPLICATIONS | 1995年 / 64卷 / 01期
基金：
美国国家科学基金会;
关键词：
DENSE MAP; SEQUENTIALLY CONTINUOUS MAP; DYADIC COMPACTUM;
D O I：
10.1016/0166-8641(95)00094-W
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove in ZFC that for every sequentially continuous omega-dense function f which maps a dyadic compactum onto a Tychonoff space Y, there exists a closed subspace Z subset of or equal to D-tau such that f[Z] = f[D-tau] and the restriction of f to Z is continuous. Moreover, the range of every such mapping f is a dyadic compactum.
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页码：95 / 99
页数：5
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