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关于散射分解的几个结论
引用本文:李根华,黄浩然.关于散射分解的几个结论[J].江西师范大学学报(自然科学版),2005,29(6):554-556.
作者姓名:李根华  黄浩然
作者单位:江西师范大学,数学与信息科学学院,江西,南昌,300027;江西师范大学,数学与信息科学学院,江西,南昌,300027
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.

关 键 词:散射分解  可数仿紧  次仿紧(次中紧、次亚紧)  单位分解
文章编号:1000-5862(2005)06-0554-03
收稿时间:2005-06-26
修稿时间:2005-06-26

Some Results on Scattered Partition
LI Gen-hua,HUANG Hao-ran.Some Results on Scattered Partition[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2005,29(6):554-556.
Authors:LI Gen-hua  HUANG Hao-ran
Institution:Institute of Mathmatics and Informatics, Jiangxi Normal University, Nanchang 330027, China
Abstract: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.
Keywords:scattered partition  countably paracompact  subparacompact(submesocompact  submetacompact)  partition of unity
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