CLOSED MAPS ON METRIC SPACES

被引:7
|
作者
Tanaka, Yoshio [1 ]
机构
[1] Tokyo Gakugei Univ, Tokyo, Japan
关键词
closed map; Lindelof space; Frechet space; k-network; weak topology;
D O I
10.1016/0166-8641(80)90019-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The following result is proved: Let Y be the image of a metric space X under a closed map f. Then every partial derivative f(-1)(y) is Lindelof if and only if Y has a point-countable k-network.
引用
收藏
页码:87 / 92
页数:6
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