Abstract
In this paper, we extend earlier Michael's selection theorem in the general nonconvex setting. Indeed, we deal with the case of almost lower semicontinuous multifunctions T on a zero-dimensional paracompact topological space X. Based on a kind of equicontinuous property, we prove that any a.l.s.c. ECP multifunction from X into a complete metric space Y still has a continuous selection.
Original language | English |
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Pages (from-to) | 105-112 |
Number of pages | 8 |
Journal | Acta Mathematica Vietnamica |
Volume | 36 |
Issue number | 1 |
Publication status | Published - 2011 |
ASJC Scopus subject areas
- Mathematics(all)