SET CONVERGENCES - AN ATTEMPT OF CLASSIFICATION

被引：45
|
作者：
SONNTAG, Y [1 ]
ZALINESCU, C [1 ]
机构：
[1] UNIV IASI,FAC MATH,R-6600 IASI,ROMANIA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 340卷 / 01期
关键词：
CONVERGENCES ON HYPERSPACE; CLASSES OF SUBSETS; TYPES OF SEMIMETRICS; CLASSIFICATION;
D O I：
10.2307/2154552
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We endow families of nonempty closed subsets of a metric space with uniformities defined by semimetrics. Such structure is completely determined by a class (which is a family of closed sets) and a type (which is a semimetric). Two types are sufficient to define (and classify) almost all convergences known till now. These two types offer the possibility of defining other set convergences.
引用
收藏
页码：199 / 226
页数：28
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