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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2
  6. A Result about Selectors in non-Archimedean Spaces
 
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A Result about Selectors in non-Archimedean Spaces

Artico, Giuliano
•
Marconi, Umberto
2001
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ISSN
0049-4704
http://hdl.handle.net/10077/4281
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Subjects
  • non-Archimedean

  • selector

  • tree

  • Vietoris continuous

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.
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en
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