Selectors in non-Archimedean spaces

被引：0
|
作者：
Artico, G.
Marconi, U.
Moresco, R.
Pelant, J.
机构：
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
[2] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic
来源：
TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 03期
关键词：
Vietoris topology; selector non-Archimedean; completely metrizable; topologically well-orderable; scattered; branching system;
D O I：
10.1016/j.topol.2006.07.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Continuous selectors on the hyperspace F(X) are studied, when X is a non-Archimedean space. It is shown that a non-Archimedean space has a continuous selector if and only if it is topologically well orderable. Another characterization is given in terms of density and complete metrizability. (C) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：540 / 551
页数：12
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