NMAA06020U Categories and Topology (CatTop)
MSc Programme in Mathematics
Topics in algebraic topology centered around the use of categories in homotopy theory and simplicial methods. Topics include simplicial sets, nerves of categories, classifying spaces, homotopy (co)limits, localization and completion, algebraic K-theory.
- 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
the acquired knowledge.
In previous years lecture notes were used. It will be aimed to make these notes available from Absalon and/or the lecturers homepage.
Academic qualifications equivalent to a BSc degree is recommended.
- Theory exercises
- 7,5 ECTS
- Type of assessment
- Continuous assessmentWeekly written exercises. The scores on the weekly written exercises are weighted equally in determining the final grade.
- All aids 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.