Algebraic Topology 1.5: Cohomology (AlgTop 1.5)

Course content

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

The core material of this course is based on chapter 2 and 3 of the textbook Algebraic Topology by Allen Hatcher.

Education

MSc programme in mathematics

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.

4 hours lectures and 3 hours exercise session per week for 9 weeks.

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

ECTS
7,5 ECTS
Type of assessment
Continuous assessment
Weekly homework counting 75 % towards the grade and the 2 hours final-in class problem set counting 25 % of the grade.
Aid
Written aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner.
Criteria for exam assessment

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

Single subject courses (day)

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