Baire spaces, Tychonoff powers and the Vietoris topology

Simple item page
dc.contributor.authorCao, J
dc.contributor.authorTomita, AH
dc.date.accessioned2011-11-11T00:57:29Z
dc.date.available2011-11-11T00:57:29Z
dc.date.copyright2007-05-05
dc.date.issued2007-05-05
dc.description.abstractIn this paper, we show that if the Tychonoff power Xω of a quasiregular space X is Baire, then its Vietoris hyperspace 2X is also Baire. We also provide two examples to show (i) the converse of this result does not hold in general, and (ii) the Baireness of finite powers of a space is insufficient to guarantee the Baireness of its hyperspace.
dc.identifier.citationProceedings of the American Mathematical Society, vol.135(5), pp.1565 - 1573
dc.identifier.doi10.1090/S0002-9939-07-08855-7
dc.identifier.issn0002-9939 (print) 1088-6826 (online)
dc.identifier.roid9700en_NZ
dc.identifier.urihttps://hdl.handle.net/10292/2509
dc.publisherAmerican Mathematical Society
dc.relation.isreplacedby10292/4244
dc.relation.isreplacedbyhttp://hdl.handle.net/10292/4244
dc.relation.urihttp://dx.doi.org/10.1090/S0002-9939-07-08855-7
dc.rightsCopyright 2007, 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.subjectChoquet game
dc.subjectTychonoff power
dc.subjectVietoris topology
dc.titleBaire spaces, Tychonoff powers and the Vietoris topology
dc.typeJournal Article
pubs.organisational-data/AUT
pubs.organisational-data/AUT/Design & Creative Technologies
pubs.organisational-data/AUT/Design & Creative Technologies/School of Computing & Mathematical Science
pubs.organisational-data/AUT/PBRF Researchers
pubs.organisational-data/AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers
pubs.organisational-data/AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers/DCT C & M Mathematical Science
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Baire spaces.pdf
Size:
182.34 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
School of Engineering, Computer and Mathematical Sciences - Te Kura Mātai Pūhanga, Rorohiko, Pāngarau