1) regular uncountable cardinal
正则不可数基数
1.
Generally, for a regular uncountable cardinal κ, what is the sufficient and necessary condition of GO-space being κ-paracompact? we solved this problem.
早在1 95 4年,Gillman和Henriksen就证明了一个GO-空间是仿紧空间的充分必要条件,那么,更一般地,任给一个正则不可数基数κ,GO-空间是κ-仿紧空间的充分必要条件是什么呢?本文回答了这个问题。
2.
We obtain that under the normality of product of a topological space and a GO-space and the normality of product of the topological space and a regular uncountable cardinal are equivalent.
本文对“每一个GO-空间都是可数仿紧的”这一性质进行了推广,得到了“每一个GO-空间都是正则不可数基数的乘积正规性是等价的;并在这两个结论的基础上,又得出了一些重要的定理。
2) regular cardinal
正则基数
3) uncountable cardinal
不可数基数
1.
The author will give several new characterizations of normal ideals on a regular uncountable cardinal.
对正则不可数基数中的正规理想给出了若干新的等价刻
4) strongly countably complete regular
强可数完全正则
6) inaccessible cardinal
不可达基数
1.
The proof of Cantor s theorem in all the couses are nearly the same as that of the proof which was given by Takeuti in 1982,except that the diagonal method The author shows a new proof of Cantor s theorem by using the cofinality and inaccessible cardinal The new proof is different from any other given proof
Ｃａｎｔｏｒ定理的证明，除了对角线法外，其他所有证明实质上都类同于Ｔａｋｅｕｔｉ在１９８２年给出的证法现应用共尾数和不可达基数给出了新的证法，这个证法不同于以往各种证
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