Institut für Mathematik       Universität Zürich | ||
Contents
This seminar provides an introduction to the basic notions of category theory and sheaf theory which both are ubiquitous in pure mathematics and very useful in many contexts. As an application, we will deal in the end with the question whether one could reconstruct a topolological space from only knowing its poset of open subsets. The theory of locales will help us to answer this question.Literature
Talks
No. | Date | Title |
0 | 17.09. | Overview and organisatorial stuff |
1 | 01.10. | Set theory, universes, and categories |
2 | 08.10. | Functors and natural transformations |
3 | 15.10. | Limits and colimits |
4 | 22.10. | Adjoint functors |
5 | 29.10. | Presheaves and sheaves |
6 | 05.11. | Stalks and sheafification |
7 | 12.11. | Sheaves as étalé spaces |
8 | 19.11. | Frames and locales |
9 | 26.11. | Points and sober spaces |
10 | 03.12. | Spatial locales and sober spaces |