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弱可数紧集与Arrow-Barankin-Blackwell定理
引用本文:贺飞,李斌.弱可数紧集与Arrow-Barankin-Blackwell定理[J].内蒙古大学学报(自然科学版),2006,37(6):601-604.
作者姓名:贺飞  李斌
作者单位:1. 内蒙古大学理工学院数学系,呼和浩特,010021
2. 内蒙古财经学院基础数学部,呼和浩特,010051
摘    要:陈光亚研究员在局部凸空间的框架下推广了A rrow-B arank in-B lackw e ll稠密性定理.将此定理条件中的“弱序列紧”减弱为“弱可数紧”,从而对A rrow-B arank in-B lackw e ll定理进行了推广.

关 键 词:局部凸空间  Arrow-Barankin-Blackwell定理  弱可数紧
文章编号:1000-1638(2006)06-0601-04
收稿时间:2006-03-01
修稿时间:2006年3月1日

Weakly Countably Compact Sets and the Arrow-Barankin-Blackwell Theorem
HE Fei,LI Bin.Weakly Countably Compact Sets and the Arrow-Barankin-Blackwell Theorem[J].Acta Scientiarum Naturalium Universitatis Neimongol,2006,37(6):601-604.
Authors:HE Fei  LI Bin
Institution:1. Department of Mathematics, College of Sciences and Technology, Inner Mongolia University ,Hohhot 010021 ,China ; 2. Department of Basic Mathematics, Inner Mongolia Finance and Economics College,Hohhot 010051 ,China
Abstract:In framework of locally convex spaces,Chen Guangya obtained a general form of the Arrow-Barankin-Blackwell theorem.Weakly sequential compaction is replaced with weakly countable compaction in the condition of this theorem,it can be generalized.
Keywords:locally convex space  Arrow-Barankin-Blackwell theorem  weakly countably compact set  
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