subortho-紧空间的无限Tychonoff乘积性质  

The Infinite Tychonoff Prdouct Property of Subortho-compact Spaces

作　　者：纪广月 

机构地区：[1]肇庆工商学院工商系,广东省肇庆市526020

出　　处：《曲阜师范大学学报（自然科学版）》2011年第4期41-43,共3页Journal of Qufu Normal University(Natural Science)

基　　金：肇庆工商学院科研基金资助项目（1011GK43）

摘　　要：证明了如下结果：（1）如果X=multiply from t∈∑ Xτ是∑-仿紧空间,则X是subortho-紧空间当且仅当F∈[∑]〈ε,X=multiply from τ∈F Xτ是subortho-紧空间.（2）设X=multiply from i∈ω Xi是可数仿紧的,则下列3y条等价：X是subortho-紧的;F∈[ω]〈ω,X=multiply from i∈F Xi是subortho-紧的;n∈ω,multiply from i≤n Xi是subortho-紧的.The following resulfs are proved：（1） Let X=multiply from τ∈∑Xτ be ∑-paracompact,then X is subortho-compact spaces iff for every F∈[∑]ω,X=multiply from τ∈FXτ is subortho-compact spaces.（2）Let X=multiply from i∈ωXi be countable paracompact.The following are equivalent：X is subortho-compact;for each F∈[ω]ω,X=multiply from i∈FXi is subortho-compact;for each n∈ω,multiply from i≤nXi is subortho-compact.

关 键 词：subortho-紧 ∑-仿紧 可数仿紧 

分 类 号：O189.11[理学—数学]