Applications of Stationary Sets in Set Theoretic Topology
| Metadata Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Bezdek, Andras | |
| dc.contributor.advisor | Baldwin, Stewart | |
| dc.contributor.advisor | Smith, Michel | |
| dc.contributor.advisor | Gruenhage, Gary | |
| dc.contributor.author | Clontz, Steven, Jr. | |
| dc.date.accessioned | 2010-11-10T15:40:32Z | |
| dc.date.available | 2010-11-10T15:40:32Z | |
| dc.date.issued | 2010-11-10T15:40:32Z | |
| dc.identifier.uri | http://hdl.handle.net/10415/2368 | |
| dc.description.abstract | The notion of a stationary subset of a regular cardinal, a set which intersects any closed unbounded subset of that cardinal, is a useful tool in investigating certain properties of topological spaces. In this paper we utilize stationary sets to achieve an interesting characterization of paracompactness of a linearly ordered topological space. We also use stationary sets to find a pair of Baire spaces whose product is not Baire. | en |
| dc.rights | EMBARGO_NOT_AUBURN | en |
| dc.subject | Mathematics and Statistics | en |
| dc.title | Applications of Stationary Sets in Set Theoretic Topology | en |
| dc.type | thesis | en |
| dc.embargo.length | NO_RESTRICTION | en_US |
| dc.embargo.status | NOT_EMBARGOED | en_US |