几乎基次亚紧空间的无限乘积

Infinite Product of Near Base Sub-meta Compact Space

为了更好地研究次亚紧空间及其他拓扑空间的覆盖性质,在与几乎基亚紧空间结合后定义了几乎基次亚紧空间,研究了它的遗传性,并获得结果:(1)几乎基次亚紧空间的闭子空间是几乎基次亚紧的;(2)如果X=∏α∈ΛXα是︱Λ︱-仿紧空间,则X是几乎基次亚紧空间当且仅当F∈[Λ]<ω,︱Λ︱是几乎基次亚紧的。

In order to better study the covering properties of sub-meta compact space and other topology spaces,the near base sub-meta compact space is defined on the basis of near base mate compact space,and its heredity is studied. Several main results are obtained as follows：（ 1） Every closed subspace of nearly base sub-meta compact space is nearly base sub-meta compact.（ 2） Let X = ∏Xαbe a ︱Λ︱-paracompact space,then X is near base sub-meta compact space if and onlyα∈Λif ∏Xα is nearly base sub-meta compact for each F ∈ [Λ] ω.