弱准连续与弱■连续函数的分解  

Weakly Pre-continuity and a Decomposition of Weakly ■-continuous Funtions

作　　者：汤磊[1] 胡珍真[1] 吴中华[1] 

机构地区：[1]成都理工大学信息管理学院,成都610059

出　　处：《四川理工学院学报（自然科学版）》2009年第2期13-14,17,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：在拓扑空间中引入了弱连续、弱准连续以及弱■连续和■连续的概念,着重讨论了弱准连续、弱■连续和弱连续的一些性质,并给出了关于弱■连续函数几种等价刻画以及■连续函数的一种新的分解。In this paper, the notions of weakly continuous functions, weakly pre-continuous functions, weakly δ -continuous functions and δ -continuous functions are introduced, and some properies of the weakly pre-continuous, weakly δ -continuous functions and weakly continuous functions are investigated. We also show several equivalent descriptions of weakly δ -continuous functions and give a new discomposition of δ -continuous functions.

关 键 词：弱准连续 弱δ连续 δ连续 弱连续 

分 类 号：O189.1[理学—数学]