双预拓扑空间的不连通类

J4 ›› 2013, Vol. 48 ›› Issue (10): 56-61.

双预拓扑空间的不连通类

申文霞,李生刚

陕西师范大学数学与信息科学学院, 陕西西安 710062

收稿日期:2012-07-20 发布日期:2013-10-14
作者简介:申文霞(1988- ),女,硕士研究生,研究方向为格上拓扑学. Email:jsjswx100@163.com
基金资助:
国家自然科学基金资助项目(11071151); 陕西省自然科学基金资助项目(2010JM1005)

Disconnectednesses of bi-pre-topological spaces

SHEN Wen-xia, LI Sheng-gang

College of Mathematics and Information Sciences, Shaanxi Normal University, Xi’an 710062, Shaanxi, China

Received:2012-07-20 Published:2013-10-14

摘要/Abstract

摘要：

将拓扑空间的连通类和不连通类推广到双预拓扑空间中,并给出了双预拓扑空间不连通类的一些性质。讨论了当双预拓扑空间的一个不连通类A中含有二元集上的某些双预拓扑空间时A的结构。

关键词: 双预拓扑空间;连通类;不连通类

Abstract:

Connectednesses and disconnectednesses of topological spaces are extended to bi-pre-topological spaces. Some properties of disconnectednesses of bi-pre-topological spaces are given. Also, the structure of a disconnectednesses of bi-pre-topological spaces which including two-element spaces is discussed.

Key words: bi-pre-topological space; connectednesses; disconnectednesses

中图分类号:

O189.1

申文霞,李生刚. 双预拓扑空间的不连通类[J]. J4, 2013, 48(10): 56-61.

SHEN Wen-xia, LI Sheng-gang. Disconnectednesses of bi-pre-topological spaces[J]. J4, 2013, 48(10): 56-61.

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