正规狭义拟仿紧空间的σ-积  

σ-Products on Normal Strongly Quasi-Paracompact Spaces

作　　者：朱培勇[1] 

机构地区：[1]西南民族学院数学系,成都610041

出　　处：《四川大学学报（自然科学版）》2002年第5期805-809,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：四川省教育厅自然科学 (重点 )基金;西南民族学院引进人才 (科研启动 )基金

摘　　要：首先证明如下两结果 :(1)设X =σ{Xα∶α∈A}是｜A｜ 仿的 ,如果X的每个有限子积是正规狭义拟仿紧的 ,则X是正规狭义拟仿紧的 ;(2 )设X =σ{Xα∶α∈A}是遗传｜A｜ 仿紧的 ,如果X的每个有限子积是遗传正规狭义拟仿紧的 ,则X是遗传正规狭义拟仿紧的 .其次指出 :正规弱 θ 可加空间和正规弱δθThe author proved the following two results: (1) Let X=σ{X α∶α∈A} be |A|-paracompact,if each finite subproduct of X is normal strongly quasi-paracompact, then X is normal strongly quasi-paracompact; (2) Let X=σ{X α∶α∈A} be hereditarily |A|-paracompact, if each finite subproduct of X is hereditarily normal strongly quasi-paracompact, then X is hereditarily normal strongly quasi-paracompact. Next, pointed out that there are the properties which is similar to the aboves about both normal weak -refinable spaces and normal weak δθ-refinable spaces.

关 键 词：Σ-积 

分 类 号：O189.11[理学—数学]