关于子基的半开集和半连续映射  

Semi-open Sets and Semi-continuous Maps Relative to a Subbase

作　　者：黄琴[1] 庄志芬[1] 

机构地区：[1]莆田学院数学与应用数学系,福建莆田351100

出　　处：《莆田学院学报》2010年第2期13-17,共5页Journal of putian University

基　　金：国家自然科学基金资助项目(10671173);福建省教育厅基金资助项目(JA08193)

摘　　要：借助关于子基的内部和闭包给出了β半开集和β半闭集的定义,进而定义了β半内部和β半闭包,研究了它们的基本性质和相互联系;并给出β半开集(β半闭集)的等价刻画;同时,还引入关于子基的半连续映射,并给出它的等价刻画。This paper first gives the definitions of β-semi-open sets and β-semi-close sets with the help ot the interior and the closure relative to a subbase and it defines the conceptions of β-semi-interior and β-semi-closure. Furthermore, it studies their basic properties and mutual relations, and gives their equivalent characterizations. Finally, it introduces the definition of semi-continuous maps relative to a subbase, and gives its equivalent characterizations.

关 键 词：半开集 子基 β半开集 β半闭集 β半连续映射 

分 类 号：O189.1[理学—数学]