1) Compact cardinal
紧基数
2) strongly compact cardinal
紧致基数
1.
We prove that κ product of any family of finally κ compact spaces is also finally κ compact if and only if κ is strongly compact cardinal.
本文指出一族κ－紧空间的κ－乘积仍为κ－紧的充分必要条件是κ为紧致基
3) base-countably paracompact space
基-可数仿紧
1.
This paper is made of two parts: one part is the Tychonoff infinite product properties of σ-ortho compact space; the other part,a series of properties of base-countably paracompact spaces are given.
主要研究了两部分内容:一是σ-ortho紧空间的Tychonoff乘积性;二是给出了基-可数仿紧空间的一系列性质;着重证明了:如果X=∏σ∈∑Xσ是|∑|-仿紧空间,则X是σ-ortho紧空间当且仅当F∈|∑|〈ω,∏σ∈FXσ是σ-ortho紧空间。
4) countable base-mesocompact
基-可数中紧
1.
The notion of countable base-mesocompact mapping is introduced and the following results are mainly proved:(i) Let f ∶X→Y be countable base-mesocompact mapping.
引入了基-可数中紧映射,并且获得了如下主要结果:(i)设X,Y为T2空间,ω(X)≥ω(Y),f∶X→Y是基-可数中紧映射,如果Y是正则的基-可数中紧空间,那么X是基-可数中紧空间。
5) countably base-mesocompact
可数基-中紧
1.
The notion of countably base-mesocompact spaces is introduced and the followingresults are proved:1)Let be a perfect mapping.
文章引入了可数基-中紧空间,并且获得了如下主要结果:1)设f:X→Y为完备映射,Y为可数基-中紧空间,则X是可数基-中紧空间。
6) Base-countably paracompact
基可数仿紧
1.
2、(1) Base-countably paracompactness is an inverse invariant of quasi-perfectmappings.
本文主要研究了两部分内容：一部分是σ-ortho紧空间的Tychonoff乘积性；一部分是定义了基可数仿紧空间，并对其性质与刻画定理进行了初步研究。
补充资料：基数标准(见基数)
基数标准(见基数)
level of basic load
lishu biaozhun基数标准(level of basic load)见基数。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条