T滴状性质和拟T滴状性质  

T Drop Property and Quasi T Drop Property

作　　者：许成锋[1] 罗成[1] 

机构地区：[1]内蒙古大学理工学院数学系

出　　处：《内蒙古大学学报（自然科学版）》2006年第4期374-377,共4页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金项目资助(批准号:200308020101)

摘　　要：(X,T)是可分离的拓扑线性空间,B是X中的非空有界闭凸集,提出了B有T滴状性质和B有拟T滴状性质的概念.(X,T)是F re′chet空间,T1是T的相容拓扑,则B有T1滴状性质当且仅当任意关于B的流有T1收敛的子列及B有拟T1滴状性质当且仅当任意关于B的无限流作为集合有T1聚点.Let （X,T） be a separated topological vector space,B be a closed bounded convex set. T drop property and quasi T drop property of set B is introduced. Let （X,T） be a Fre＇chet space, and T1 be comparable with T,then B with T1 drop property is equivalent to any stream of set B with a T1 convergent subsequence, and B with quasi T1 drop property is equivalent to the set of any stream of set B with a T1 cluster point.

关 键 词：Fre’chet空间 T滴状性质 拟T滴状性质 

分 类 号：O177.3[理学—数学]