相对次亚紧的一些性质

广西师范大学学报（自然科学版） ›› 2011, Vol. 29 ›› Issue (4): 84-87.

相对次亚紧的一些性质

张国芳, 范钦杰

吉林师范大学数学学院,吉林四平136000

收稿日期:2011-05-18 发布日期:2018-11-16
通讯作者: 范钦杰(1956—),女,吉林梅河口人,吉林师范大学教授,博士。E-mail:fanqinjie@sina.com
基金资助:
国家自然科学基金资助项目(10971084);吉林省教育厅“十一五”科研项目([2009]第199号);吉林省四平市科技厅项目(2010012)

Some Properties of Relative Submetacompactness

ZHANG Guo-fang, FAN Qin-jie

College of Mathematics,Jilin Normal University,Siping Jilin 136000,China

Received:2011-05-18 Published:2018-11-16

摘要/Abstract

摘要： 本文主要根据A.V.Arhangel'skii等人提出的相对拓扑性质的理论,给出次亚紧性质的相对定义,研究了相对次亚紧的一些性质及相对次亚紧与较强的相对覆盖性质之间的关系。

关键词: 相对次亚紧, 相对次仿紧, 相对族状正规

Abstract: According to the relative topological properties provided by A.V.Ahangel'skii and H.M.M.Genedi in 1989,some definitions ofrelative submetacompactness are introduced,and some properties of relative submetacompactness and their relationships with stronger covering properties are also investigated.

Key words: relative submetacompactness, relative subparacompactness, relative collectionwise normality

中图分类号:

O189.1

张国芳, 范钦杰. 相对次亚紧的一些性质[J]. 广西师范大学学报（自然科学版）, 2011, 29(4): 84-87.

ZHANG Guo-fang, FAN Qin-jie. Some Properties of Relative Submetacompactness[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(4): 84-87.

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