Algebraic Topology 1.5: Cohomology (AlgTop 1.5)

Course content

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

 

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.

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.

Written
Oral
Individual
Continuous feedback during the course of the semester
ECTS
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.
Aid
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.
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
  • Preparation
  • 143
  • Theory exercises
  • 27
  • English
  • 206