NMAA06020U  Categories and Topology (CatTop)

Volume 2018/2019
Education

MSc Programme in Mathematics

Content

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.

 

 

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.
AlgTopI and HomAlg or similar. Knowledge of AlgTop1.5 and AlgTopII will be advantageous.
4 hours lectures and 3 hours exercises per week for 9 weeks.
Credit
7,5 ECTS
Type of assessment
Continuous assessment
Weekly written exercises. The scores on the weekly written exercises are weighted equally in determining the final grade.
Aid
All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner
Re-exam

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.

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