完全分配格上的格值Smooth点式拟一致结构

Lattice Valued Smooth Pointwise Quasi-Uniformity on Completely Distributive Lattices

在完全分配格上定义 L - smooth点式拟一致结构概念 ,并研究它与点式拟一致结构之间的关系以及与 smooth拓扑之间的关系 ,给出分解定理、表现定理及构造条件。

In this paper,the concept of L-smooth pointwise quasi-uniformity on completely distributive latices is defined, the relation between the concept and the quasi-uniformity and the relation between the concept and smooth topology are studied,the decomposition theorems,the representation theorems and the equivalent conditions of constructing a L-smooth pointwise quasi-uniformity are given.