关于g-可度量空间及弱开映射

J4 ›› 2010, Vol. 45 ›› Issue (3): 102-104.

关于g-可度量空间及弱开映射

刘士琴¹，陈海燕²

1. 衡水学院数学与计算机学院, 河北衡水 053000; 2. 广西大学数学与信息科学学院, 广西南宁 530004

收稿日期:2009-07-09 出版日期:2010-03-16 发布日期:2010-04-02
作者简介:刘士琴(1982-)，女，硕士，助教，研究方向为一般拓扑学.Email: liushiqin168@163.com.cn
基金资助:
广西壮族自治区自然科学基金资助项目（0728035）

On g-metrizable spaces and weak open mappings

LIU Shi-Qin1, CHEN Hai-Yan2

1. Institute of Mathematics and Computer, Hengshui College, Hengshui 053000, Hebei, China；
2. College of Mathematics and Information Science,Guangxi University,Nanning 530004, Guangxi, China

Received:2009-07-09 Online:2010-03-16 Published:2010-04-02

摘要/Abstract

摘要：

利用弱开映射,建立了g-可度量空间与度量空间之间的关系,以及对度量空间的弱开k-映射的等价刻画并证明了度量空间、g-可度量空间、sn-可度量空间、 Д 空间在弱开、闭映射下保持，这一结果推广了已有结果。

关键词: g-可度量空间;弱基;弱开映射;k-映射;σ-映射;mssc-映射

Abstract:

The relations between metrizable spaces and g-metrizable spaces are established by means of weak open mappings. Also, it is shown that metrizable spaces or g-metrizable spaces or sn-metrizable spaces or Д space are preserved by weak open closed mappings.

Key words: g-metrizable spaces; weak bases; weak open mappings; k-mappings; σ-mappings; mssc-mappings

刘士琴1，陈海燕2. 关于g-可度量空间及弱开映射[J]. J4, 2010, 45(3): 102-104.

LIU Shi-Qin1, CHEN Hai-Yan2. On g-metrizable spaces and weak open mappings [J]. J4, 2010, 45(3): 102-104.

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