CLOSED MAPS ON METRIC SPACES

被引：7

作者：

Tanaka, Yoshio ^{[1
]}

机构：

[1] Tokyo Gakugei Univ, Tokyo, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 1980年 / 11卷 / 01期

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

页码：87 / 92

页数：6

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