Topology I (V3D1/F4D1), winter term 2024/25

Mondays, 10:15-12:00 and Wednesdays, 8:15-10:00, Kleiner Hörsaal (Wegelerstr. 10)

Lecturer: Stefan Schwede
Email : schwede (at) math.uni-bonn.de
Assistant: Tobias Lenz
Email: lenz (at) math.uni-bonn.de

Topics

CW-complexes, higher homotopy groups, singular homology

Literature:
- F. Waldhausen, Algebraische Topologie
- G. Bredon, Topology and Geometry (Springer)
- A. Hatcher, Algebraic Topology
- K. Jänich, Topologie (Springer)
- G. Laures, M. Szymik, Grundkurs Topologie (Spektrum)

Prerequisites

point set topology (topological space, subspaces, quotient spaces, compactness, separation axioms), fundamental group, covering space theory

Additional resources

I previously taught this class in the winter term 2020/21 during the covid pandemic. I have made the slides and videos that I produced then available on eCampus, so that they can serve as additional resources. To access the slides and videos, you must join the eCampus course "V3D1/F4D1 - Topologie I / Topology I". I anticipate, however, that this term's content will differ to some extent from the content of the videos.

Exercises

We will provide weekly exercise sheets on Friday, starting October 11. The exercise sheets will be available here for download. The completed exercises have to be handed in 10 days later before the Monday lecture. Exercise sheets may be handed in jointly by at most three students.

The registration for the exercise groups will be administered online via eCampus during first week of classes. To register for an exercise group, you must join the eCampus course "V3D1/F4D1 - Übungen zu Topologie I / Exercises to Topology I".

Time (c.t.)/Place Tutor
Tu 8, SR 0.003
We 14, SR 0.003
We 16, SR 0.003
Th 8, SR 0.003
Th 10, SR 0.003

Exam

The written exam takes place January 27, 2025. The second exam takes place March 28, 2025. The prerequisites for admission to the exam are:
S. Schwede, 09.09.2024