On the completeness properties of the C-compact-open topology on C(X)

被引：0
|
作者：
Osipov, A. V. [1 ,2 ]
机构：
[1] Ural Fed Univ, Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia
[2] Ural Fed Univ, Russian Acad Sci, Inst Math & Mech, Ural Branch,Physicomath Sci, Ekaterinburg, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 02期
关键词：
C-compact-open topology; set-open topology; Cech completeness; Baire space; function space;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The completeness properties of the space C-rc(X) of all continuous real-valued functions on a Tikhonov space X are studied, where the function space has the C-compact-open topology. The properties of complete metrizability, Cech completeness, pseudocompleteness, and almost. Cech-completeness are investigated.
引用
收藏
页码：191 / 198
页数：8
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