Meso紧空间的无限Tychonoff乘积性质

On the Infinite Product Quality of the Meso Orthocompact Spaces and the Tychonoff

主要证明了如下结果:(1)如果X=∏α∈ΛXα是|Λ|-仿紧空间,则X是meso紧的当且仅当F∈[Λ]<ω,∏α∈FXα是meso紧的;(2)如果X=∏i∈ωXi是可数仿紧的,则下列三条件等价:X是meso紧的;F∈[Λ]<ω,∏α∈FXα是meso紧的;n∈ω,∏i≤n Xi是meso紧的。

The present article proves the following results： （ 1 ） if X=Пα∈AXα is ｜A｜-para-closed spaces, then X is meso para-eompaet if and only if ↑∨F∈[A]〈ω Пα∈FXαis eountably paraeompaet; （2） if X=Пi∈ωXi is eountably paraeompaet, then the following three conditions is equal in value; X is meso compact; ↑∨F∈[A]〈ω ПisnXiis meso compact;↑∨F∈[A]〈ω ,ПisnXiis meso compact.