J4 ›› 2009, Vol. 44 ›› Issue (6): 25-28.
• 论文 • 上一篇 下一篇
钟晓静
收稿日期:
发布日期:
作者简介:
基金资助:
西南大学科研基金资助项目(SWU208022)
ZHONG Xiaojing
Received:
Published:
摘要：
给出了预拓扑空间中第一、二可数性公理的定义,并利用网族的预收敛类的理论具体刻划满足第一、二可数性公理的预拓扑空间。
关键词: 预拓扑空间;预收敛类;网族;第一可数性公理;第二可数性公理
Abstract:
The notions of the first and second coutability axiomsare introduced in pretopological spaces. it is proved that a pretopological space satisfying the first or second coutability axiom is characterized by means of the theory of preconvergence classes of families of nets.
Key words: pretopological space; preconvergence class; family of nets; first coutability axiom; second coutability axiom
中图分类号:
. 用网族的预收敛类刻画预拓扑空间的可数性公理[J]. J4, 2009, 44(6): 25-28.
0 / / 推荐
导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks
链接本文: http://lxbwk.njournal.sdu.edu.cn/CN/
http://lxbwk.njournal.sdu.edu.cn/CN/Y2009/V44/I6/25
Cited
