On continuity and selections of multifunctions

Dodos, P

dc.contributor.author	Dodos, P	en
dc.date.accessioned	2014-03-01T01:18:08Z
dc.date.available	2014-03-01T01:18:08Z
dc.date.issued	2002	en
dc.identifier.issn	0004-9727	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14816
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0036592925&partnerID=40&md5=05c48ccb603e52807005766d7d9f75a1	en
dc.subject.classification	Mathematics	en
dc.title	On continuity and selections of multifunctions	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The notions of a Baire-1 and a weak Baire-1 multifunction are defined and a striking analogy between Baire-1 multifunctions and classical Baire-1 functions is established. A selection theorem is presented which asserts that if X is a metrisable space, Y a Polish space and F : X --> 2(Y)\{0} a closed-valued, weak Baire-1 multifunction, then F admits a Baire-1 selection. Using the machinery developed we prove that if X is a Banach space with sepaxable dual, then every weak* usco, defined on a completely metrisable space Z, which values are weakly* compact subsets of the dual, is norm lower semicontinuous on a dense G(delta) set.	en
heal.publisher	AUSTRALIAN MATHEMATICS PUBL ASSOC INC	en
heal.journalName	Bulletin of the Australian Mathematical Society	en
dc.identifier.isi	ISI:000176896800006	en
dc.identifier.volume	65	en
dc.identifier.issue	3	en
dc.identifier.spage	407	en
dc.identifier.epage	422	en