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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.31 (1999) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4322
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| Title: | Sur les sélections continues des collections d'arcs |
| Authors: | Cauty, Robert |
| Issue Date: | 1999 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | Robert Cauty, "Sur les sélections continues des collections d'arcs", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (1999), pp. 135-142. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 31 (1999) |
| Abstract: | Let F be a lower semicontinuous multivalued mapping from a paracompact
space X into a metrisable space Y such that F(x) is an arc or a point
for every x in X. We prove that if the family $\left\{ F\left(x\right)/x\epsilon X\right\} $
is ELC$^{0}$, then F admits a continuous selection. |
| URI: | http://hdl.handle.net/10077/4322 |
| ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (1999)
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