四川大学学报（自然科学版）2017，Vol.54Issue(5)：905-910,6.DOI:10.3969/j.issn.0490-6756.2017.05.002
T0拓扑空间的拟连续性与交连续性
Quasicontinuity and meet-continuity of T0 spaces
摘要
Abstract
By means of convergence,we introduce quasicontinuous sapces and meet-continuous sapces based on directed spaces.The main results are as follows:(1) A T0 space is quascontinuous if and only if it is locally strongly compact,if and only if its open set lattice is a hypercontinuous complete lattice,if and only if it soberfication is a quasicontinuous dcpo;(2) A directed space is meet-continuous iff its closed set lattice is a frame;(3) A T0 space is a c-space if and only it is quasicontinuous and meet-continuous.关键词
定向空间/拟连续性空间/交连续空间/c-空间Key words
Directed space/Quasicontinuous space/Meet-continuous sapce/c-sapce分类
数理科学引用本文复制引用
冯华容,寇辉..T0拓扑空间的拟连续性与交连续性[J].四川大学学报（自然科学版）,2017,54(5):905-910,6.基金项目
国家自然科学基金(11371262) （11371262）
