Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Algebraic Topology 1.5: Cohomology (AlgTop 1.5)

Practical information
Study year 2016/2017
Block 3
Programme level Full Degree Master
Course responsibles
  • Søren Galatius (8-6c667166796e7a78457266796d33707a336970)
  • Nathalie Wahl (4-7c666d71457266796d33707a336970)
  • Department of Mathematical Sciences
Course number: NMAA13029U

Course content

The course is a thorough introduction to homology and cohomology, with selected applications.

The core material of this course is based on chapter 2 and 3 of the textbook Algebraic Topology by Allen Hatcher.

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

Algebraic Topology (AlgTop) and Homological Algebra (HomAlg) or equivalent.

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MSc programme in mathematics


Study Board of Mathematics and Computer Science

Course type

Single subject courses (day)


1 block


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Teaching and learning methods

4 hours lectures and 3 hours exercise session per week for 9 weeks.


No limit




Category Hours
Lectures 36
Theory exercises 27
Preparation 143
English 206


Type of assessment

Continuous assessment
Weekly homework counting 75 % towards the grade and the 2 hours final-in class problem set counting 25 % of the grade.


Written aids allowed

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 of the course.

Censorship form

No external censorship
One internal examiner.


30 minutes oral exam with 30 minutes preparation time. All aids allowed during the preparation time, no aids allowed during the examination.

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