摘要
基于覆盖性质理论研究了点星形正紧空间的逆极限性质,并证明了如下结果:设X=lim←{Xα,παβ,Λ},λ=|Λ|,如果每个投射πα是开满的,X是λ-仿紧的,且每个Xα是点星形正紧空间,则X是点星形正紧空间.进一步还可以得到遗传点星形正紧空间具有类似地结果.
Based on covering theories, the inverse limits properties of pointwise star orthocompact space are investigated. And it is proved that let X = lim{Xa,Лaβ,A},2 = IAI and each projection ;,r,Лa is an open and onto mapping for each a ∈ A ,if X is 2-paracompact and each Xa is pointwise star orthocompact space, then X is pointwise star orthocompact space. The analogue result for hereditarily star orthocompact space is obtained.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2011年第5期441-443,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
江西省自然科学基金(2009GZS0012)
江西省研究生创新专项资金(YC09A054)资助项目
关键词
点星形正紧
逆极限
遗传点星形正紧
pointwise star orthocompact
inverse limits
hereditarily pointwise star orthocompact
