几种弱形式连续映射的网式刻画  

The characterization of several weak forms of continuous mappings by nets

作　　者：平征[1] 李佳[2] 

机构地区：[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

出　　处：《宁德师专学报（自然科学版）》2005年第4期337-339,343,共4页Journal of Ningde Teachers College(Natural Science)

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.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.

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 

分 类 号：O189.11[理学—数学]