S_L-闭包空间  

S_L-closure spaces

作　　者：陶波[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《浙江科技学院学报》2005年第1期4-8,共5页Journal of Zhejiang University of Science and Technology

摘　　要：介绍了SL 闭包空间的概念,指出了它是LF拓扑空间中S 闭包算子的推广,并研究了它的收敛性;还提出了SL 连续映射的概念,并讨论了它的性质和刻画;进一步以SL 闭包空间为对象、SL 连续映射为态射,建立了SL闭包范畴SL CLOSURE。The concepts of S_L-closure space is presented. It is a generalization of S-closure operator in LF topological space. We study the convergence of it ,introduce the S_L-continuous generalize order homomorphisms and get its properties and characters. Furthermore, the category S_L-CLOSURE is established by objects S_L-closure and homomorphisms S_L-continous mapping.

关 键 词：闭包算子 连续映射 SL LF拓扑空间 态射 刻画 收敛性 对象 

分 类 号：O189[理学—数学] O657.4[理学—基础数学]