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Please use this identifier to cite or link to this item: 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
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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