Games and Metrisability of Manifolds

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aut.researcherCao, Jiling
dc.contributor.authorCao, J
dc.contributor.authorGauld, DB
dc.contributor.authorGreenwood, S
dc.contributor.authorMohamad, A
dc.date.accessioned2011-11-11T00:53:42Z
dc.date.available2011-11-11T00:53:42Z
dc.date.copyright2008
dc.date.issued2008
dc.description.abstractUsing topological games we investigate connections between properties of topological spaces and their spaces of continuous functions with the compact-open topology. This leads to new criteria for metrisability of a manifold. We show that a manifold M is metrisable if and only if a winning strategy applies to certain topological games played on C_k(M). We also show that M is metrisable if and only if C_k(M) is Baire, and even if and only if it is Volterra.
dc.identifier.citationNew Zealand Journal of Mathematics, vol.37(1), pp.1 - 8
dc.identifier.issn1171-6096
dc.identifier.urihttps://hdl.handle.net/10292/2507
dc.languageEnglish
dc.publisherJoint committee of the New Zealand Mathematical Society and the Department of Mathematics of the University of Auckland.
dc.relation.urihttp://nzjm.math.auckland.ac.nz/index.php/Games_and_Metrisability_of_Manifolds
dc.rightsNew Zealand Journal of Mathematics 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.subjectBanach-Mazur game
dc.subjectChoquet game
dc.subjectCompact-open topology
dc.subjectManifold
dc.subjectMetrisable
dc.subjectMoving Off Property
dc.subjectStrongly Baire
dc.subjectBaire
dc.subjectVolterra
dc.titleGames and Metrisability of Manifolds
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
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