摘要
本文引入了弱拓扑空间的概念,证明了locale范畴与弱拓扑空间范畴的关系类似于拓扑空间范畴与locale范畴的关系。locale范畴严格包含于弱拓扑空间范畴并且与Sober的弱拓扑空间范畴等价。
We introduce the concept of weakly topological spaces, and show that the
relationship between the category of locales and the category of weakly topological
spaces is similar to the relationship between the category of topological spaces and
the category of locales. The category of locales is strictly contained in the category of
weakly topological spaces, and is equivalent to the category of sober weakly topological
spaces.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2004年第3期601-606,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金(10331010)
国家自然科学基金(10271056)
