Openness and monotoneity of induced mappings

dc.contributor.author	Charatonik, WJ
dc.date.accessioned	2011-01-22T10:27:38Z
dc.date.available	2011-01-22T10:27:38Z
dc.date.issued	1999
dc.identifier.issn	0002-9939
dc.identifier.uri	http://hdl.handle.net/11154/2151
dc.description.abstract	It is shown that for locally connected continuum X if the induced mapping C(f) : C(X) --> C(Y) is open,then f is monotone. As a corollary it follows that if the continuum X is hereditarily locally connected and C(f) is open, then f is a homeomorphism. An example is given to show that local connectedness is essential in the result.	en_US
dc.language.iso	en	en_US
dc.title	Openness and monotoneity of induced mappings	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	2622
dc.source.novolpages	127(12):3729-3731
dc.subject.wos	Mathematics, Applied
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	continuum
dc.subject.keywords	hyperspace
dc.subject.keywords	induced mapping
dc.subject.keywords	open
dc.subject.keywords	monotone
dc.relation.journal	Proceedings of the American Mathematical Society