摘要
首先证明:X是强遗传meso紧空间当且仅当X的每个开子空间的每个散射分解在X上有紧有限的开膨胀;然后推出关于强遗传meso紧空间的1个充要条件和1组等价刻画;最后获得了强遗传meso紧空间的1个Ty-chonoff乘积定理.
First this paper shows that X is strongly hereditarily mesocompact space iff each scattered partition of its open subspaces has a compact finite open expansion in X.Then,a necessary and sufficient condition of strongly hereditarily mesocompact spaces is proved,and a group of characterizations is obtained.Finally,a Tychonoff product theorem is proved on strongly hereditarily mesocompact spaces.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第6期146-150,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(10671134)
关键词
强遗传meso紧
散射分解
开子空间
开膨胀
strongly hereditarily mesocompact
scattered partition
open subspace
open expansion
