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 Dec 1 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
An extension of michael's selection theorem. / Chu, Liang-Ju; Huang, Chien Hao.
In: Acta Mathematica Vietnamica, Vol. 36, No. 1, 01.12.2011, p. 105-112.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - An extension of michael's selection theorem
AU - Chu, Liang-Ju
AU - Huang, Chien Hao
PY - 2011/12/1
Y1 - 2011/12/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=84874671427&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84874671427
VL - 36
SP - 105
EP - 112
JO - Acta Mathematica Vietnamica
JF - Acta Mathematica Vietnamica
SN - 0251-4184
IS - 1
ER -