Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Categories and Topology (CatTop)

Practical information
Study year 2016/2017
Block 1
Programme level Full Degree Master
Course responsibles
  • Ib Henning Madsen (7-6b6f6366756770426f63766a306d7730666d)
  • Jesper Grodal (2-79764f7c7083773d7a843d737a)
J.G./ phone +45 35 32 06 86, office 04.4.12
I.M./ phone +45 35 32 06 82, office 04.4.08
  • Department of Mathematical Sciences
Course number: NMAA06020U

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.



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.

Recommended prerequisites

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

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MSc Programme in Mathematics


Study Board of Mathematics and Computer Science

Course type

Single subject courses (day)


1 block


---- SKEMA LINK ----

Teaching and learning methods

4 hours lectures and 3 hours exercises per week for 9 weeks.


No limit




Category Hours
Lectures 36
Theory exercises 27
Preparation 143
English 206


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

7-point grading scale

Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome.

Censorship form

No external censorship
One internal examiner


30 minutes oral exam without preparation time. No aids allowed. Several internal examiners

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