Locale的弱拓扑表达  

Weakly Topological Representation of Locales

作　　者：贺伟[1] 江守礼[2] 

机构地区：[1]南京师范大学数学系,南京210097 [2]山东大学数学系,济南250100

出　　处：《数学学报（中文版）》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)

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.

关 键 词：LOCALE范畴 弱拓扑空间 拓扑空间 

分 类 号：O189.1[理学—数学]