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.
Selectors in non-Archimedean spaces
ARTICO, GIULIANO;MARCONI, UMBERTO;MORESCO, ROBERTO;
2007
Abstract
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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