NSCPHD1014  Categories and Topology (CatTop)

Volume 2014/2015
Content

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.
Credit
7,5 ECTS
Type of assessment
Continuous assessment
Weekly exercises.
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
Re-exam
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