序同态的N－连续性

N-Continuity of Order-Homomorphisms

以近似良紧性为基础，在ＬＦ拓扑空间上提出了序同态的Ｎ－连续性、分子网的Ｎ－收敛性及Ｎ－闭包算子等概念。系统地研究了这些概念的特性及其相互关系。借助于Ｎ－连续性概念，得到了连续和几乎连续序同态的一些特征。

he concepts of N-continuity, N-convergence of molecular nets, and N- closure operator on LF topological spaces are presented on the basis of notion of nearly nice compactness. Their characteristic and mutual relationship are systematically studied.From the concepts of N-continuity, we obtain some conclusion on continuous and almost continuous order-homomorphism.