Categories and Topology (CatTop)

Course 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, algebraic K-theory of exact categories, homotopy (co)limits, localization and completion.

 

 

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 exercises per week for 9 weeks.

AlgTopI and HomAlg. Knowledge of AlgTop1.5 and AlgTopII will be advantageous.

ECTS
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
grade.
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.

Single subject courses (day)

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