NMAA13029U  Algebraic Topology 1.5: Cohomology (AlgTop 1.5)

Volume 2015/2016

MSc programme in mathematics


The course covers the fundamental group, ordinary cohomology theory, and selected other topics, such as Steenrod operations. The core material of this course can be found in chapter one and three in Hatcher's textbook entitled Algebraic Topology.

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.
Algebraic Topology (AlgTop), or equivalent. It is strongly recommended that you take Homological Algebra (HomAlg) before or concurrently with AlgTop 1.5.
4 hours lectures and 3 hours exercise session per week for 9 weeks.
7,5 ECTS
Type of assessment
Continuous assessment
Weekly homework counting 75 % towards the grade and the final-inclass problem set counting 25 % of the grade.
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner.

30 minutes oral exam with preparation time. All aids allowed during the preparation time, no aids allowed during the examination.

Criteria for exam assesment

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

  • Category
  • Hours
  • Lectures
  • 36
  • Theory exercises
  • 27
  • Preparation
  • 143
  • Total
  • 206