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 |
|---|---|
| Pages (from-to) | 105-112 |
| Number of pages | 8 |
| Journal | Acta Mathematica Vietnamica |
| Volume | 36 |
| Issue number | 1 |
| Publication status | Published - 2011 Dec 1 |
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Chu, L-J., & Huang, C. H. (2011). An extension of michael's selection theorem. Acta Mathematica Vietnamica, 36(1), 105-112.