THE TOPOLOGY OF THE RHO-HAUSDORFF DISTANCE

被引：69
作者：
ATTOUCH, H
LUCCHETTI, R
WETS, RJB
机构：
[1] UNIV MONTPELLIER 2,F-34060 MONTPELLIER,FRANCE
[2] UNIV CALIF DAVIS,DAVIS,CA 95616
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 1991年 / 160卷
关键词：
D O I：
10.1007/BF01764131
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An analysis of the topology generated by the rho-hausdorff distances on the hyperspace of subsets of a normed linear space. In addition, a compactness criterion is derived for the topology generated by the pointwise convergence of the distance functions (the Choquet-Wijsman topology).
引用
收藏
页码：303 / 320
页数：18
相关论文
共 37 条
[1]   ISOMETRIES FOR THE LEGENDRE-FENCHEL TRANSFORM [J].
ATTOUCH, H ;
WETS, RJB .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 296 (01) :33-60
[2]  
ATTOUCH H, 1988, IIASA888 WORK PAP
[3]  
ATTOUCH H, 1988, IIASA889 WORK PAP
[4]  
ATTOUCH H, 1988, UNPUB ANN I H POINCA
[5]  
ATTOUCH H, 1984, APPLICABLE MATH SERI
[6]  
ATTOUCH H, 1987, IIASA WP8725 WORK PA
[7]  
AZE D, 1988, SOME METRIC ASPECTS
[8]  
AZE D, 1987, OPERATIONS CONVERGEN
[9]  
BARONTI M, 1986, BIRKHAUSER VERLAG IN, V76
[10]   ON MOSCO CONVERGENCE OF CONVEX-SETS [J].
BEER, G .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1988, 38 (02) :239-253
1234