Completeness Properties in Function Spaces with the Compact-Open Topology
| Metadata Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Gruenhage, Gary | |
| dc.contributor.author | Hughes, Glenn | |
| dc.date.accessioned | 2014-05-01T20:33:36Z | |
| dc.date.available | 2014-05-01T20:33:36Z | |
| dc.date.issued | 2014-05-01 | |
| dc.identifier.uri | http://hdl.handle.net/10415/4092 | |
| dc.description.abstract | It is an open problem to characterize those spaces X for which the compact-open topology C_k(X) has various completeness properties. It is conjectured that C_k(X) is Baire if and only if X has the moving off property. We show this conjecture is true for special classes of spaces: fans, closed images of first countable paracompact spaces, Lasnev Spaces, and certain types of collapsed spaces. We also introduce a new completeness properties motivated by the Cech complete property. | en_US |
| dc.rights | EMBARGO_NOT_AUBURN | en_US |
| dc.subject | Mathematics and Statistics | en_US |
| dc.title | Completeness Properties in Function Spaces with the Compact-Open Topology | en_US |
| dc.type | dissertation | en_US |
| dc.embargo.length | NO_RESTRICTION | en_US |
| dc.embargo.status | NOT_EMBARGOED | en_US |