Openness of induced mappings

dc.contributor.author	Charatonik, JJ
dc.contributor.author	Charatonik, WJ
dc.contributor.author	Illanes, A
dc.date.accessioned	2011-01-22T10:27:38Z
dc.date.available	2011-01-22T10:27:38Z
dc.date.issued	1999
dc.identifier.issn	0166-8641
dc.identifier.uri	http://hdl.handle.net/11154/2152
dc.description.abstract	Openness of induced mappings between hyperspaces of continua is studied. In particular we investigate continua X such that if for a mapping f:X --> Y the induced mapping C(f):C(X) --> C(Y) is open, then f is a homeomorphism. It is shown that, besides hereditarily locally connected continua, ail fans have this property, while some Cartesian products do not have it. If f: X x Y --> X denotes the natural projection, then openness of C(f) implies that X is hereditarily unicoherent. The equivalence holds for dendrites. Some new characterizations of these curves are obtained. (C) 1999 Elsevier Science B.V. All rights reserved.	en_US
dc.language.iso	en	en_US
dc.title	Openness of induced mappings	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	2625
dc.source.novolpages	98(40603):67-80
dc.subject.wos	Mathematics, Applied
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	continuum
dc.subject.keywords	dendrite
dc.subject.keywords	hyperspace
dc.subject.keywords	induced mapping
dc.subject.keywords	open
dc.relation.journal	Topology and Its Applications