Selectors in non-Archimedean spaces |
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| Authors: | G. Artico R. Moresco |
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| Affiliation: | a Dipartimento di Matematica Pura e Applicata, via Belzoni 7, I-35131 Padova, Italy
b Mathematical Institute of the Academy of Sciences of the Czech Republic, ?itná 25, 115 67 Prague 1, Czech Republic |
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| 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. |
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| Keywords: | 54C65 54F05 54E50 54G12 |
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