强次亚紧和遗传次亚紧的σ-积  

σ PRODUCTS ON STRONG SUBMETACOMPACT SPACES AND HEREDITARILY SUBMETACOMPACT SPACES

作　　者：朱培勇 

出　　处：《四川大学学报（自然科学版）》1997年第2期128-132,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：四川省青年科学基金

摘　　要：主要获得如下两个定理：（１）设Ｘ＝σ｛Ｘα：α∈Ａ｝，如果Ｘ的每个有限子积是强次亚紧的，则Ｘ是强次亚紧的；（２）设Ｘ＝σ｛Ｘα：α∈Ａ｝，如果Ｘ的每个有限子积是遗传次亚紧的且Ｘ正规，则Ｘ是遗传次亚紧的．其次。The author mainly obtained the following two theorems: (1)Let X=σ{x α:α∈A},if every finite subproduct of X is strong submetacompact, then X is strong submetacompact; (2) Let X=σ{x α:α∈A}, if every finite subproduct of X is heredifarily submetacompact and X normal, then X is hereditarily submetacompact. Next, The author also proved that there is not the result which is similar to (1) on the kind of suborthocompact spaces.

关 键 词：强次亚紧 遗传次亚紧 次ortho紧 Σ-积 

分 类 号：O189.11[理学—数学]