对称的满层L-Kent收敛空间范畴的子范畴  

The Subcategories of Symmetric Stratified L-Kent Convergence Spaces

作　　者：高小燕[1] 

机构地区：[1]榆林学院数学与应用数学系,陕西榆林719000

出　　处：《模糊系统与数学》2013年第1期84-90,共7页Fuzzy Systems and Mathematics

基　　金：陕西省教育厅科技计划项目(09JK834)

摘　　要：在满层的L-Kent收敛空间中引入了对称性的概念,定义了对称的满层L-Kent收敛空间范畴,对称的满层L-极限空间范畴,对称的满层L-主收敛空间范畴,对称的满层L-拓扑空间范畴。证明这四个范畴是拓扑范畴,并且后一个是前一个的反射子范畴。最后证明了对称的满层L-Kent收敛空间范畴和对称的满层L-极限空间范畴是笛卡儿闭的。In this paper, the concept of symmetric stratified L-Kent convergence spaces is introduced, and the categories of symmetric stratified L-Kent convergence spaces, symmetric stratified L-limit spaces, symmetric stratified L-principal convergence spaces and symmetric stratified L-topological spaces are defined. Further it is proved that these categories are topological categories, and the latter is a reflective subcategory of the former. Finally it is proved that the categories of symmetric stratified L-Kent convergence spaces and symmetric stratified L-limit spaces are cartesian closed.

关 键 词：对称的满层L-Kent收敛空间 反射子范畴 笛卡儿闭 拓扑范畴 

分 类 号：O189[理学—数学]