摘要
本文在完备格中引入φS集的概念,并在讨论φS集族性质的基础上给出φ连续格的一族拓扑及格论刻划。
In this paper, we define φ-S sets in a complete lattice, discuss the properties of φ-S set family, give the characterizations of φ-continuous lattices, obtain the topological representation theorem of completely distributive lattices by the category of locally hypercompact Sober spaces.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1997年第6期875-880,共6页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金
国家教委博士点基金
关键词
ψ-连续格
SCOTT拓扑
完全分配格
拓扑表示定理
φ-S set, φ-continuous lattice, Scott topology, Hypercompactness, Sober space, Completely distributive lattice