摘要
本文的目的是在具有逆序对合对应的完全分配格上研究点式（拟）一致结构与（拟）邻近结构的联系，证明了在全有界点式一致结构与邻近结构间存在一个一一对应关系．
In this paper we shall study connexions between pointwise (quasi-)uniformities and (quasi-)proximities on completely distributive lattices with order reversing involution . We shall prove that there exists a one-to-one correspondence between totally bounded pointwise (quasi-)uniformities and (quasi-)proximities.
出处
《数学进展》
CSCD
北大核心
2001年第4期322-328,共7页
Advances in Mathematics（China）
基金
National Natural Science Foundation of China.
关键词
拓扑
点式一致结构
邻近结构
逆序对合对应
全有界点式一致结构
完全分配格
topology
pointwise (quasi-)uniformity
(quasi-)proximity
totally bounded pointwise uniformity
completely distributive lattice
