Course Syllabus
The topics of every lecture appear here, possibly tentatively. Chapter references refer to the course notes.
| Sep 4 | Introduction to vector bundles. Definition as spaces over a base space and as sheaved | Chapter 1–2.2 |
| Sep 11 | Fiber bundles and cocycles; operations on bundles | Chapter 2.3-2.5 |
| Sep 18 | smooth manifolds, tangent bundles, and bundles with additional structure. Stiefel and Grassmann manifolds und universal bundles | Chapter 2.6, 3.2 |
| Sep 25 | simplicial spaces and geometric realization | Chapter 3.3 |
| Oct 2 | Paracompactness, classifying spaces | Chapter 2.5-2.6 |
| Oct 9 | Čech cohomology I | Chapter 4.1-4.4 |
| Oct 16 | Čech cohomology II | Chapter 4.5-4.7 |
Course Summary:
| Date | Details | Due |
|---|---|---|