An extension of michael's selection theorem

Liang-Ju Chu, Chien Hao Huang

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)105-112
Number of pages8
JournalActa Mathematica Vietnamica
Volume36
Issue number1
Publication statusPublished - 2011 Dec 1

ASJC Scopus subject areas

  • Mathematics(all)

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