| 几种弱形式连续映射的网式刻画 |
| |
| 引用本文： | 平征,李佳.几种弱形式连续映射的网式刻画[J].宁德师专学报(自然科学版),2005,17(4):337-339,343. |
| |
| 作者姓名： | 平征 李佳 |
| |
| 作者单位： | 1. 宁德师范高等专科学校数学系,福建,宁德,352100
2. 江西师范大学计算机信息工程学院,江西,南昌,330022 |
| |
| 摘 要： | 在一般拓扑空间中,以远域为工具引入和研究网的S-收敛性、θ-收敛性、δ-收敛性等概念,并利用这些概念给出半连续映射、弱连续映射和几乎连续映射的一些等价条件.
|
| 关 键 词： | 拓扑空间 远域 网的S-收敛性、（θ-收敛性、δ-收敛性） 半连续性 弱连续性 几乎连续性 |
| 文章编号： | 1004-2911（2005）04-0337-03 |
| 收稿时间： | 09 1 2005 12:00AM |
| 修稿时间： | 2005-09-01 |
The characterization of several weak forms of continuous mappings by nets |
| |
| PING Zheng,LI Jia.The characterization of several weak forms of continuous mappings by nets[J].Journal of Ningde Teachers College(Natural Science),2005,17(4):337-339,343. |
| |
| Authors: | PING Zheng LI Jia |
| |
| Institution: | 1 .Department of Mathemetics,Ningde Teachers College,Ningde Fujian 352100,China; 2. Computer Information Engineering tnstitute,Jiagxi Normal University,Nanchan Jiangxi 330022,China |
| |
| Abstract: | In this paper, the notions of convergence, convergence and convergence of netson general topological spaces are introduced and studied by means of r- neighborhood. Through these concepts, some equivalent characterizations with respect to semi - continuous , weakly continuous and almost continuous mappings are given. |
| |
| Keywords: | topological spaces r-neighborhood convergence(convergence convergence) of nets wemi-continuity weakly continuity almost continuity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
