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子locale与子空间的关系
引用本文:贺伟.子locale与子空间的关系[J].陕西师范大学学报,1998(3).
作者姓名:贺伟
作者单位:陕西师范大学数学系
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.

关 键 词:子空间  子locale  核映射

Sublocale and subspace
He Wei.Sublocale and subspace[J].Journal of Shaanxi Normal University: Nat Sci Ed,1998(3).
Authors:He Wei
Abstract: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.
Keywords:subspace  sublocale  nucleus
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