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.
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页码：540 / 551
页数：12
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