• FU-Students should register via Campus Management.
• Non-FU-students should register via MyCampus/Whiteboard.

Summer Term 2022

lecture by  Dr. Gabriel Angelini-Knoll

Time and place

•  Lecture:  Tuesdays, 08-10h, in SR 031, Arnimallee 6, and
                   Thursdays, 10-12h, in SR 031, Arnimallee 6.

• Exercise Session: Thursdays, 14:00-16:00h, in SR 032, Arnimallee 6.

• Additional exercise Sessions: Tuesday, June 14^th, 16:00-18:00h, and
                                                      Tuesday, June 28^th, 16:00-18:00h,
                                                      both in SR 032, Arnimallee 6.

• Final Exam: Tuesdays, July 26^th, 14:00-16:00h, lecture hall, Takustr. 9.
• Exam viewing: Friday, July 29^th, 10:00-12:00h, SR 031, Arnimallee 6.
• Follow-up Exam: Thursday, August 25^th, 14:00-16:00h, lecture hall 001, Arnimallee 3-5.

                            

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

Exercises

Problem sets will be put online every Wednesday and can be found under Assignements in MyCampus/Whiteboard. Solutions (in small groups!) are due by 2 pm on Thursday of the following week  –  please submit either using the corresponding mailbox on the ground floor in Arnimallee 3-5 or in the exercise session.

Course Overview

1. Basic notions. Topological spaces, products, coproducts, quotients, compactness. 
2. Gluing constructions.
3. Homotopies between continuous maps, degree of a map, fundamental group.
4. Seifert-van Kampen Theorem. 
5. 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)
• J.P. May: A Concise Course in Algebraic Topology, Chicago Lectures in Mathematics
• James R. Munkres: Topology, Prentice Hall (english)