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

页码：199 / 226

页数：28

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