Lecturer

  • Dr. Zhixin Xie

Time and Place

  • Lecture: Tuesdays and Thursdays, 14:00-16:00, SR10, Geb. E 2.4.

  • Exercise session: Thursdays, 16:00-18:00, SR9, Geb. E 2.4.

Note: The course will be held in English.

Topics

The content includes:

  • Paths and homotopy

  • The fundamental group and the van Kampen Theorem

  • Covering spaces and lifting properties

  • Singular homology and cellular homology

  • Cohomology and Poincaré duality

Prerequisites: Linear Algebra I & II, Algebra, Analysis I & II.

Literature: Campus-Bibliothek für Informatik und Mathematik prepared the literature list for this course here.

To register for the course

Please send an email to xie [add @math.uni-sb.de]. This email should include also the following data: Name, Surname, Matrikelnummer and your Uni Saar email address.

Exercise Sheets

Exercise sheets will appear in our MS Teams - Algebraic Topology Team every week. They should be solved until the following week and the solutions shall be submitted via the MS Teams - Algebraic Topology Team. The solutions will be corrected and graded, and then they will be returned to you in the next exercise session.

Exams

Exam Criteria: In order to be permitted to take part in the exam at least 50% of the total points from the exercise sheets must be collected.