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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2 >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4281
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| 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 |
| Citation: | 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. |
| URI: | http://hdl.handle.net/10077/4281 |
| ISSN: | 0049-4704 |
| MS Classification: | 54B20
54G05
54C65 |
| 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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