集体次正规空间的逆极限与无限Tychonoff积  

Inverse limits and infinite tychonoff products about collectionwise subnormal spaces

作　　者：朱培勇[1] 

机构地区：[1]西南民族学院计算机科学与技术学院,成都610041

出　　处：《西南民族学院学报（自然科学版）》2002年第2期135-138,共4页Journal of Southwest Nationalities College(Natural Science Edition)

基　　金：四川省教育厅自然科学基金(重点基金)资助课题.

摘　　要：主要证明:(1)并且每个是开满映射,如果X是|∑|-完满的且每个Xσ是集体次正规空间,则X是集体次正规空间．(2)如果是|A|-完满正规的,则X是集体次正规空间当且仅当是集体次正规的．同时指出:遗传集体次正规也有相应的性质．This paper mainly proves the results:(1)Let X=and every π_σ. be open andonto mapping, if X is norma|Σ|-paracompact and every X_σ is collectionwise subnormal, then X iscollectionwise subnormal;(2)Let X=Π_(αeA)X-α is normal|A|-paracompact,X is collectionwise subnormalif Π_(αeσ)X-α is collectionwise subnormal for every σ∈[A]]. Next, we point out that there exist thesimilar results to hereditarily collectionwise subnormal spaces.

关 键 词：集体次正规空间 逆极限 无限Tychonoff积 |∑|-完满正规 遗传集体次正规 开满映射 

分 类 号：O189.11[理学—数学]