| M-L-闭包系统间的特殊映射及其范畴性质 |
| |
| 引用本文： | 王倩,李生刚,申文霞.M-L-闭包系统间的特殊映射及其范畴性质[J].西北纺织工学院学报,2012(3):392-396. |
| |
| 作者姓名： | 王倩 李生刚 申文霞 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
| |
| 基金项目： | 陕西省自然科学基金（2010JM1005）;陕西省教育厅专项科研计划项目基金（11JK0484） |
| |
| 摘 要： | 定义了M-L-闭包系统和M-L-闭包系统间的连续映射、开映射、闭映射,讨论了这些映射的性质.证明了范畴M-L-CS（即M-L-闭包系统及它们之间的连续映射构成的范畴）是topological construct.作为应用,给出了M-L-闭包空间的积、和与商的定义.
|
| 关 键 词： | L-闭包系统 M-L-闭包系统 连续映射 范畴 topological construct |
Special mappings and categorical properties of M-L-closure systems |
| |
| WANG Qian,LI Sheng-gang,SHEN Wen-xia.Special mappings and categorical properties of M-L-closure systems[J].Journal of Northwest Institute of Textile Science and Technology,2012(3):392-396. |
| |
| Authors: | WANG Qian LI Sheng-gang SHEN Wen-xia |
| |
| Affiliation: | (College of Mathematics and Information Sciences,Shaanxi Normal University,Xi′an 710062,China) |
| |
| Abstract: | In this paper,definitions of M-L-closure system,continuous mapping,open mapping and closed mapping of M-L-closure system are given,some properties on those mappings are discussed.It is proved that M-L-CS,the category of M-L-closure systems and continuous mappings between them,is a topological construct.As an application,it defines the notions of product M-L-closure space,sum M-L-closure space,and quotient M-L-closure space. |
| |
| Keywords: | L-closure system M-L-closure system continuous mapping category topological construct |
| 本文献已被 维普 等数据库收录！ |
