Selections that characterize topological completeness

被引：0
作者：
vanMill, J
Pelant, J
Pol, R
机构：
[1] VRIJE UNIV AMSTERDAM, FAC WISKUNDE INFORMAT, 1081 HV AMSTERDAM, NETHERLANDS
[2] ACAD SCI CZECH REPUBL, INST MATH, CR-11567 PRAGUE 1, CZECH REPUBLIC
[3] UNIV WARSAW, DEPT MATH, PL-00913 WARSAW 59, POLAND
来源：
FUNDAMENTA MATHEMATICAE | 1996年 / 149卷 / 02期
关键词：
selection; Vietoris topology; completely metrizable;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the assertions of some fundamental selection theorems for lower-semicontinuous maps with completely metrizable range and metrizable domain actually characterize topological completeness of the target space. We also show that certain natural restrictions on the class of the domains change this situation. The results provide in particular answers to questions asked by Engelking, Heath and Michael [3] and Gutev, Nedev, Pelant and Valov [5].
引用
收藏
页码：127 / 141
页数：15
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