S--"Bolzano-Weierstrass"性质  

A Property of S-'Bolzano-Weiersttiass

作　　者：陈焕然 

机构地区：吉首大学数学系

出　　处：《吉首大学学报》1992年第5期8-11,共4页

摘　　要：文[1]、[2]、[3]、[4]分别讨论了S—紧性和可数S—紧性,本文则讨论一种弱于S—紧性和可数S—紧性但对于半T_1空间类来说却等价于可数S—紧性的性质.这种性质称为S—“Bolzano—Weierstrass”性质或S—列紧性质,且要求这种空间的任何无限子集都具有空间内的半聚点.S-compactness and countable S-compactness were discussed in [1]. [2].[3] [4]. In this paper, we discuss a property that weaker than S-compactness and countable S-compactness but it is equivalant to the countalele S-compactness for Semi-T1 space class. This property is called S-' Bolzano -Weierstrass ' property or S-sequential compactness. And it must be satsfied that there is semi-accumulation point in the space for every infinite subset of this space.

关 键 词：半连续映射 半T1空间 S-列紧 

分 类 号：O189.1[理学—数学]