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1)  monotone countable paracompactness(MCP)
单调可数仿紧
1.
This paper points out some errors about the characterization of monotone countable paracompactness(MCP) given by Good and gives some characterizations of monotone countable metacompactness(MCM).
指出Good等关于单调可数仿紧空间等价刻画的一处错误,给出了单调可数亚紧空间的刻画。
2)  monotone countable paracompact space
单调可数仿紧空间
1.
A characterization of a monotone countable paracompact space;
单调可数仿紧空间的刻画
3)  countably paracompact
可数仿紧
1.
The present article proves the following results:(1) if X=∏α∈ΛXα is |Λ|-para-closed spaces,then X is meso para-compact if and only if F∈[Λ]<ω,∏α∈FXαis countably paracompact;(2) if X=∏i∈ωXi is countably paracompact,then the following three conditions is equal in value;X is meso compact;F∈[Λ]<ω,∏α∈FXαis meso compact;n∈ω,∏i<nXi is meso compact.
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。
2.
If each Xα is a normal countably paracompact space,then X is a countably paracompact space.
得到了如下结果:设X是逆系统{Xα,παβ,Λ}的逆极限,|Λ|=λ,假设每个映射πα∶X→Xα是开的且到上的,X是λ-仿紧,每个Xα是正规可数仿紧的,则X是正规可数仿紧的。
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4)  countable paracompact
可数仿紧
1.
(2) For countable paracompact X=∏i∈ωXi,the followings are equivalent:X is weakly subortho-compact,F∈[ω] <ω,∏i∈FXi is weakly subortho-compact;n∈ω,∏i≤nXi is subortho-compact.
(2)X=Πi∈ωXi是可数仿紧的,则下列三条等价:X是弱subortho-紧的;F∈[ω]<ω,∏i∈F Xi是弱subortho-紧的;n∈ω,Πi≤n Xi是弱subortho-紧的。
2.
This paper mainly proves following: (1) Let X=∏α∈ΛX α be|Λ| - paracompact, X is nearly orthocompact if ∏α∈FX α is nearly orthocompact for every F∈ <ω(2) Let X=∏i∈ω X i be countable paracompact,then the following are equivalent: X is nearly orthocompact for everyF∈ <ω ;F∈ <ω ∏i∈FX i , is nearly orthocompact;n∈ω,∏inX i is nearly orthocompact.
( 1)如果X =∏α∈ΛXα 是 |Λ| -仿紧空间 ,则X具有P当且仅当 F∈ [Λ]<ω,∏α∈FXα 具有P ;( 2 )如果X =∏i∈ωXi 是可数仿紧的 ,则下列三条等价 :X具有P : F∈ [ω]<ω,∏i∈FXi具有P : n <ω ,∏i≤nXi,具有P 。
更多例句>>
5)  monotone countable metacompactness(MCM)
单调可数亚紧
1.
This paper points out some errors about the characterization of monotone countable paracompactness(MCP) given by Good and gives some characterizations of monotone countable metacompactness(MCM).
指出Good等关于单调可数仿紧空间等价刻画的一处错误,给出了单调可数亚紧空间的刻画。
6)  Countable paracompactness
可数仿紧性
补充资料：单调
只有一种的或重复而缺少变化：色彩单调｜形式单调｜单调的生活。
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