NMAA13029U Algebraic Topology 1.5: Cohomology (AlgTop 1.5)

Volume 2020/2021

MSc Programme in Mathematics


The course is a thorough introduction to homology and cohomology, with selected applications.


Learning Outcome
  • Knowledge: To display knowledge of the course topics and content, at the level of a beginning researcher.
  • Skills: To be able to use the acquired knowledge to perform computations.
  • Competencies: To be able to produce independent proofs in extension of the acquired knowledge.

Example of course litterature:

Parts of chapter 2 and 3 of the textbook Algebraic Topology by Allen Hatcher.

Algebraic Topology (AlgTop) and Homological Algebra (HomAlg) or equivalent.

Academic qualifications equivalent to a BSc degree is recommended.
4 hours lectures and 3 hours exercise session per week for 9 weeks.
  • Category
  • Hours
  • Lectures
  • 36
  • Preparation
  • 143
  • Theory exercises
  • 27
  • Total
  • 206
Continuous feedback during the course of the semester
7,5 ECTS
Type of assessment
Continuous assessment
Weekly homework counting 50 % towards the grade and a 2 hours 'closed-book' final in-class problem set counting 50 % of the grade.
Only certain aids allowed

All aids allowed for the weekly homework. No books and no electronic aids are allowed for the 2 hours final exam. Personally created handwritten notes on paper are allowed.

Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner.

30 minutes oral examination with no aids or preparation time. The oral examination will cover the entire material of the course, including the exercise sets.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.