Course Description
This is a beginning course from the series of three courses Topology I—III. In the introductory course we will first overview basic notions on Metric spaces and then cover following topics:
- Basic notions of: Topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
- Gluing constructions.
- Homotopies between continuous maps, degree of a map, fundamental group.
- Seifert-van Kampen Theorem.
- Covering spaces.
Literature
- Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
- James R. Munkres: Topology, Prentice Hall
- Marco Manetti : Topology, Springer
- Stefan Waldmann: Topology (An Introduction), Springer
- Klaus Jänich: Topologie, Springer-Verlag
Contact
| Contact | Office Hours: | ||
| Lecture | Pavle Blagojević and Moritz Firsching | blagojevic(at)math.fu-berlin.de, firsching(at)math.fu-berlin.de | Wednesday after lectures |
| Tutorial | Jonathan Kliem | jonathan.kliem(at)fu-berlin.de | Monday after tutorials |
Lectures
Lectures | ||
| Wed | 14:15 - 15:45 | SR 031, Arnimallee 6 |
| Fri | 12:00 - 13:30 | HS 001, Arnimallee 3 |
Tutorials and Problems
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- 1.pdf (due October 25th)
- 2.pdf (updated) (due November 1st)
- 3.pdf (due November 8th)
- 4.pdf (due November 15th)
- 5.pdf (due November 22th)
- 6.pdf (due November 29th)
- Quiz (updated)
- 7.pdf (due December 13th)
- 8.pdf (due December 20th)
- 9.pdf (due January 10th)
- 10.pdf (due January 17th)
Exam
You can do the exam either written or oral. If you want to do oral exam, you must set up a date before the written exam. Your second attempt will be in the same mode as your first attempt. E.g. if you fail the written exam at the first try, you must pass the second written exam in order to pass the class.
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