1) Finitely closed (or compactly closed) set
有限闭(紧闭)集
2) finitely compactly closed (open) set
有限紧闭(开)集
3) finitely metrically compactly open(closed)set
有限度量紧闭(开)集
4) compactly closed set
紧闭集
1.
Based on the property of convex and compactly closed set, the author generalizes Ky Fan minimax inequality as new minimax inequality of two functions on the product space of a topological vector space and a topological space, and from this obtains a minimax inequality about one function on this product space.
利用凸空间以及紧闭集的性质把Ky Fan极小极大不等式推广为拓扑向量空间和拓扑空间的乘积空间上两个函数的极小极大不等式,并由此得到一个拓扑向量空间和拓扑空间的乘积空间上关于一个函数的极小极大不等式。
5) finitely metrically compactly closed (open) set
存限度量紧闭(开)集
6) transferably finitely metriccally compactly closed
转移有限度量紧闭
补充资料：闭集
闭集
dosed set
闭集ld吹d肥t买姗.叮l说M“馏ec佃]，拓扑空间中的 含有它的所有极限点〔见集合的极限点(】imjtpolnt of a set)、的集合.于是，闭集的补集的所有点都是内点，所以闭集可定义为开集的补集.闭集的概念是把拓扑空间定义为具有满足下列公理的特定集合系统〔所谓闭集)的作空集X的基础:X本身和空集是闭集;任意个闭集的交是闭集;有限个闭集的并是闭集.
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参考词条