Cc(X)Spaces with X Locally Compact

被引:0
|
作者
J.C.FERRANDO [1 ]
S.MOLL [2 ]
机构
[1] Centro de Investigación Operativa,Universidad Miquel Hernández  2. Departamento de Matemática Aplicada,Universidad Politécnica
关键词
Fréchet-Urysohn space; countable[bounding]tightness; (LM)-space;
D O I
暂无
中图分类号
O189.11 [拓扑空间(空间拓扑)];
学科分类号
070104 ;
摘要
In this paper,we show,among other results,that if X is a[separable]locally compactspace X[satisfying the first countability axiom]then the space C(X)has countable tightness[if andonly if it has bounding tightness]if and only if it is Fréchet-Urysohn,if and only if C(X)contains adense(LM)subspace and if and only if X is σ-compact.
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页码:1593 / 1600
页数:8
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