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1)  ordered set of integer
有序整数集
2)  set of sequences of integers
整数序列集
3)  total order set of real functions
有序函数集
4)  ordinal number of ordered set
有序集的序数
5)  semi well ordered set
半整序集
1.
A concept on well ordered set is generalized to semi well ordered set,which contains positive integer ordered set,negative integer ordered set,integer ordered set,well ordered set and extensional well ordered set.
将整序集推广至包括正整数序集、负整数序集、整数序集、整序集、泛整序集的半整序集,给出了序集W为半整序集的充要条件。
6)  well ordered set
整序集
1.
The present paper describes the extension of Zermelo theorem on well ordered set to on weakly well ordered set and gives some further results and the application on those results.
将整序集上的Zermelo定理推广到弱整序集上,并给出若干结果及应用实
2.
A concept on well ordered set is generalized to semi well ordered set,which contains positive integer ordered set,negative integer ordered set,integer ordered set,well ordered set and extensional well ordered set.
将整序集推广至包括正整数序集、负整数序集、整数序集、整序集、泛整序集的半整序集,给出了序集W为半整序集的充要条件。
补充资料:集函数


集函数
countably - additive set function

集函数l①untably一additive set function」.【补注】设E为集合X生_的J代数,则在E上的}可能取值+叨的)非负函数拜是一个加性(additive)(_有限加性(f饭nitely一add;tive),可数加性(countably一ad-ditive))测度(measure),是指对于E的任意(有限,可数)个互不相交的集合E,条件(*)成立. 通常所说的测度(meas盯e)都是指可数加性测度.
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