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http://hdl.handle.net/10077/4281| Title: | A Result about Selectors in non-Archimedean Spaces | Authors: | Artico, Giuliano Marconi, Umberto |
Keywords: | non-Archimedean; selector; tree; Vietoris continuous | Issue Date: | 2001 | Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche | Source: | Giuliano Artico and Umberto Marconi, "A Result about Selectors in non-Archimedean Spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.2, pp. 1–7. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 32 (2001) suppl.2 |
Abstract: | A sort of strong completeness property for subsets of a non-Archimedean space is defi{}ned. On the subsets which satisfy this property there exists a Vietoris continuous selector. The set of discrete closed subsets of $\mathbb{R}$ has a continuous selector when it is equipped with the Vietoris topology induced by the Michael line. Some properties of the tree of a non-Archimedean space are used. |
Type: | Article | URI: | http://hdl.handle.net/10077/4281 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2 |
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| 01-artico.pdf | 101.74 kB | Adobe PDF |  View/Open |
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