| 关于子基的半开集和半连续映射 |
| |
| 引用本文： | 黄琴,庄志芬. 关于子基的半开集和半连续映射[J]. 莆田高等专科学校学报, 2010, 0(2): 13-17 |
| |
| 作者姓名： | 黄琴 庄志芬 |
| |
| 作者单位： | 莆田学院数学与应用数学系,福建莆田351100 |
| |
| 基金项目： | 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。
|
| 关 键 词： | 半开集 子基 β半开集 β半闭集 β半连续映射 |
Semi-open Sets and Semi-continuous Maps Relative to a Subbase |
| |
| HUANG Qin,ZHUANG Zhi-Fen. Semi-open Sets and Semi-continuous Maps Relative to a Subbase[J]. Journal of Putian College, 2010, 0(2): 13-17 |
| |
| Authors: | HUANG Qin ZHUANG Zhi-Fen |
| |
| Affiliation: | (Mathematics ＆ Applied Mathematics Department, Putian University, Putian Fujian 351100, China ) |
| |
| Abstract: | 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. |
| |
| Keywords: | semi-open set subbase β-semi-open set β-semi-close set β-semi-continuous map |
| 本文献已被 维普 等数据库收录！ |
|
