MATM44 Introduction to Algebraic Topology, 7.5 credits, is an elective course at advanced level for a Master of Science degree in mathematics. The course can be taken as an stand-alone course. The language of instruction is English. The course will be given at 25% study pace during the spring semester.

Course Content
The course covers

homotopy theory, the fundamental group, covering spaces
the Brouwer fixed point theorem, the Borsuk-Ulam theorem
deformation retracts, fundamental groups and homology of surfaces
surgery of manifolds, also called "cutting and pasting"
the construction and classification of compact surfaces.

Teaching
The teaching consists of lectures and seminars. A compulsory assignment is included in the course. The assignment should be solved in smaller groups and the solutions should be presented orally to the entire student group.

Assessment
The examination consists of an oral examination at the end of the course, as well as an oral presentation of a group assignment during the course.

Course Literature

James R. Munkres, Topology, (sektion 51-60 samt 70-78) prentice Hall, 2000, ISBN10-0131816292, ISBN-13 978-0131816299

Official Course Description

Course Evaluation
Link to course evaluations on the department's website:

Course Evaluations, Mathematics at Faculty of Science