On the Countable Dense Homogeneity of Euclidean Spaces
| Metadata Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Smith, Michel | en_US |
| dc.contributor.author | Gay, Randall | en_US |
| dc.date.accessioned | 2015-04-20T20:42:40Z | |
| dc.date.available | 2015-04-20T20:42:40Z | |
| dc.date.issued | 2015-04-20 | |
| dc.identifier.uri | http://hdl.handle.net/10415/4504 | |
| dc.description.abstract | A countable dense homogeneous space, in a general sense, is a topological space in which any two countable dense subsets of the space are "dispersed" the same way. In this thesis, we will show that some very well-known topological spaces, such as n-dimensional Euclidean space R^n and the n-sphere S^n for all natural numbers n is countable dense homogeneous. | en_US |
| dc.subject | Mathematics and Statistics | en_US |
| dc.title | On the Countable Dense Homogeneity of Euclidean Spaces | en_US |
| dc.type | Master's Thesis | en_US |
| dc.embargo.status | NOT_EMBARGOED | en_US |