MATH 6545. Advanced Point Set Topology
| Course Code | MATE 6545 |
|---|---|
| Course Title | Advanced Point Set Topology |
| Credits | 3 |
| Hours | 3 per week |
| Prerequisites | MATH 6540 |
| Description | The Urysohn metrization theorem. The Tychonoff theorem. Completely regular spaces. The Stone-Čech compactification. Local finiteness. The Nagata-Smirnov metrization theorem. Paracompactness. Complete metric spaces. Compactness in metric spaces. Pointwise and compact convergence. The compact open topology. Ascoli’s theorem. Homotopy of paths. The fundamental group. |
| Additional Information | Syllabus |