• FU-Students have to register via Campus Management.
• Non-FU-students please register via MyCampus/Whiteboard.

Summer Term 2026

lecture by  Prof. Dr. Holger Reich, exercise by  Kevin Li, PhD

Time and place

• Lecture: Tuesdays & Thursdays, 10-12h, in SR 006, Königin-Luise-Str.24-26.

• Exercise Session: Mondays, 10-12h, in SR 032, Arnimallee 6. (First exercise class on Monday, 20.04.)

• Final Exam: TBA

                            

Assessment

To receive credits for the course you need to

• actively participate in the exercise session 
• work on and successfully solve the weekly exercises 
• pass the final exam

Course Overview

This is the first in a series of three courses from the Topology I—III:

1. Basic notions. Topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
2. Groups acting on topological spaces
3. Gluing constructions.
4. Homotopies between continuous maps, degree of a map, fundamental group.
5. Seifert-van Kampen Theorem. 
6. Covering spaces.

References

• Tammo tom Dieck: Algebraic Topology, EMS Textbooks in Mathematics
• Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website (english)
• Klaus Jänich: Topologie, Springer-Verlag
• Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
• James R. Munkres: Topology, Prentice Hall (english)