Topology (MA3241)



Prof. Dr. Eva Viehmann

Stephan Neupert 

Time and venue

Lecture Mo 10:15 - 11:00 in 00.07.014
Do 10:15 - 11:45 in 00.09.022
Tutor group Mo 11:00-11:45 in 00.07.014



Part 1: set topology, topological spaces, metric spaces, neighbourhood bases, countability axioms, convergence, continuity, topological products, compact spaces, separation axioms, connected spaces, Theorem of Tychonov

Part 2: fundamental group: paths, multiplication of paths, homotopy of paths, fundamental group, fundamental group of a circle, if time permits also: Brouwer Fixed Point Theorem, free groups, Theorem of Seifert and Van Kampen


G. Laures, M. Szymik: Grundkurs Topologie


G. Bredon: Topology and Geometry, Kapitel 1, 3

A. Hatcher: Algebraic Topology

K. Jänich: Topologie


Analysis 1,2, Lineare Algebra 1,2. Interested students without these prerequisites are also welcome.



Here are hand-written solutions to the exercises. Please be aware, that even though prepared with some care, they may contain mistakes.


The exam will take place on February 11, 2016 from 10:00-11:30 in room MW1050.

The second exam will take place on March 31, 2016 from 12:00-13:30 in room HS 3 (00.06.011).

Office hours

Please contact us after the lecture/tutor group or write an email: "last name"