吉林师范大学学报：自然科学版
吉林師範大學學報：自然科學版
길림사범대학학보：자연과학판
Jilin Normal University Journal:Natural Science Edition
2012年
3期
71-72,76
,共3页
逆极限%Submeta-紧%λ-仿紧
逆極限%Submeta-緊%λ-倣緊
역겁한%Submeta-긴%λ-방긴
inverse limits%submetacompactness%λ-paracompact
得到了如下结果：设X是逆系统{Xα,παβ,∧}的逆极限,｜Λ｜=λ,假设每个投射πa∶X→Xα是开且到上的,X是λ-仿紧的,如果每个Xa是Submeta-紧的,则X是Submeta-紧的.
得到瞭如下結果：設X是逆繫統{Xα,παβ,∧}的逆極限,｜Λ｜=λ,假設每箇投射πa∶X→Xα是開且到上的,X是λ-倣緊的,如果每箇Xa是Submeta-緊的,則X是Submeta-緊的.
득도료여하결과：설X시역계통{Xα,παβ,∧}적역겁한,｜Λ｜=λ,가설매개투사πa∶X→Xα시개차도상적,X시λ-방긴적,여과매개Xa시Submeta-긴적,칙X시Submeta-긴적.
In this paper,we draw the conclusion that let X be the limit of an inverse system and λ the crdinal number of Λ.Suppose each projection πα∶X→Xα is an open and onto map,and X is λ-paracompact.If each Xα is a submetacompact space,X is a submetacompact space.
