摘要
该文主要通过对散射分解的开膨胀进行约束,得到几个可数仿紧及广义仿紧空间的刻画,同时对散射分解与单位分解的关系作了初步的探讨.
In this paper,we prove some groups of equivalent characterizations of the countably paracompact and generalized paracompact mainly by restricting the open expansion of the scattered partition. Simultaneously we do pilot study of the relation between the scattered partition and partition of unity.
出处
《江西师范大学学报(自然科学版)》
CAS
北大核心
2005年第6期554-556,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
散射分解
可数仿紧
次仿紧(次中紧
次亚紧)
单位分解
scattered partition
countably paracompact
subpmacompact(submesocompact
submetacompact)
partition of unity