Baire spaces and Vietoris hyperspaces

Simple item page
aut.relation.endpage303
aut.relation.issue1
aut.relation.pages5
aut.relation.startpage299
aut.relation.volume135
dc.contributor.authorCao, J
dc.contributor.authorGarcia Ferreira, S
dc.contributor.authorGutev, V
dc.date.accessioned2011-11-11T00:57:01Z
dc.date.accessioned2012-05-23T23:52:31Z
dc.date.accessioned2012-05-23T23:52:38Z
dc.date.available2011-11-11T00:57:01Z
dc.date.available2012-05-23T23:52:31Z
dc.date.available2012-05-23T23:52:38Z
dc.date.copyright2007
dc.date.issued2007
dc.description.abstractWe prove that if the Vietoris hyperspace CL(X) of all nonempty closed subsets of a space X is Baire, then all finite powers of X must be Baire spaces. In particular, there exists a metrizable Baire space whose Vietoris hyperspace CL(X) is not Baire. This settles an open problem of R. A. McCoy stated in 1975.
dc.identifier.citationProceedings of the American Mathematical Society, vol.135(1), pp.299 - 303 (5)
dc.identifier.doi10.1090/S0002-9939-06-08743-0
dc.identifier.issn0002-9939
dc.identifier.issn1088-6826
dc.identifier.roid9702en_NZ
dc.identifier.urihttps://hdl.handle.net/10292/4243
dc.languageEnglish
dc.publisherThe American Mathematical Society
dc.relation.replaceshttp://hdl.handle.net/10292/2508
dc.relation.replaces10292/2508
dc.relation.replaceshttp://hdl.handle.net/10292/4242
dc.relation.replaces10292/4242
dc.relation.urihttp://dx.doi.org/10.1090/S0002-9939-06-08743-0
dc.rightsCopyright 2006, American Mathematical Society. This is an Open Access Journal. Authors retain the right to place his/her publication version of the work on a personal website or institutional repository for non commercial purposes. The definitive version was published in (see Citation). The original publication is available at (see Publisher’s Version).
dc.rights.accessrightsOpenAccess
dc.subjectBaire space
dc.subjectProduct space
dc.subjectHyperspace
dc.subjectVietoris topology
dc.subjectVolterra space
dc.titleBaire spaces and Vietoris hyperspaces
dc.typeJournal Article
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