S_L-闭包空间

S_L-closure spaces

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.