摘要
讨论了空间式子locale与子空间的关系以及空间式子locale的交的空间式问题,证明了拓扑空间的空间式子locale与该空间的Sober化空间的子空间是一一对应的,并且给出了空间式子locale的交是空间式的充分条件.
The relation between spatial sublocales and subspaces, and also the spatiality of the meets of spatial sublocales are studied. It is shown that the spatial sublocales of a topological space are one to one correspondence to the subspaces of the soberification of that space, and some sufficient conditions for spatiality of the meet of two spatial sublocales of a space are also given.
出处
《陕西师大学报(自然科学版)》
CSCD
北大核心
1998年第3期7-10,共4页
Journal of Shaanxi Normal University(Natural Science Edition)
基金
国家自然科学基金