Games and Metrisability of Manifolds
aut.researcher | Cao, Jiling | |
dc.contributor.author | Cao, J | |
dc.contributor.author | Gauld, DB | |
dc.contributor.author | Greenwood, S | |
dc.contributor.author | Mohamad, A | |
dc.date.accessioned | 2011-11-11T00:53:42Z | |
dc.date.available | 2011-11-11T00:53:42Z | |
dc.date.copyright | 2008 | |
dc.date.issued | 2008 | |
dc.description.abstract | Using 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.citation | New Zealand Journal of Mathematics, vol.37(1), pp.1 - 8 | |
dc.identifier.issn | 1171-6096 | |
dc.identifier.uri | https://hdl.handle.net/10292/2507 | |
dc.language | English | |
dc.publisher | Joint committee of the New Zealand Mathematical Society and the Department of Mathematics of the University of Auckland. | |
dc.relation.uri | http://nzjm.math.auckland.ac.nz/index.php/Games_and_Metrisability_of_Manifolds | |
dc.rights | New 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.accessrights | OpenAccess | |
dc.subject | Banach-Mazur game | |
dc.subject | Choquet game | |
dc.subject | Compact-open topology | |
dc.subject | Manifold | |
dc.subject | Metrisable | |
dc.subject | Moving Off Property | |
dc.subject | Strongly Baire | |
dc.subject | Baire | |
dc.subject | Volterra | |
dc.title | Games and Metrisability of Manifolds | |
dc.type | Journal 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 |