A Property of GO-Topologies on the Reals
| Metadata Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Gruenhage, Gary | |
| dc.contributor.author | Guest, Mark | |
| dc.date.accessioned | 2019-04-04T20:20:24Z | |
| dc.date.available | 2019-04-04T20:20:24Z | |
| dc.date.issued | 2019-04-04 | |
| dc.identifier.uri | http://hdl.handle.net/10415/6580 | |
| dc.description.abstract | In 1981 Peter de Caux proved that finite powers of the Sorgenfrey line are hereditarily D-spaces. In this paper we build on de Caux's technique to show that any subspace of a finite power of the reals with a generalized ordered topology is a finite union of D-spaces and therefore a transitively D-space. We also note that finite powers of Sorgenfrey Suslin lines are D-spaces. | en_US |
| dc.subject | Mathematics and Statistics | en_US |
| dc.title | A Property of GO-Topologies on the Reals | en_US |
| dc.type | Master's Thesis | en_US |
| dc.embargo.status | NOT_EMBARGOED | en_US |
| dc.contributor.committee | Feng, Ziqin | |
| dc.contributor.committee | Kuperberg, Krystyna | |
| dc.contributor.committee | Baldwin, Stewart |