NMAA06020U  Categories and Topology (CatTop)

Volume 2015/2016
MSc Programme in Mathematics

Topics in algebraic topology centered around the use of categories in homotopy theory. Topics include classifying spaces, simplicial sets, algebraic K-theory of exact categories, homotopy colimits and homology decompostions.

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. Knowledge of AlgTop1.5 or AlgTopII will be advantageous.
4 hours lectures and 3 hours exercises per week for 9 weeks.
7,5 ECTS
Type of assessment
Continuous assessment
Weekly exercises. The weekly assignments are scored equally,
and the sum of the homework scores has to correspond to a passing
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
30 minutes oral exam without preparation time. No aids allowed. Several internal examiners
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