Cohomology

Teaching semester

Irregular. Runs only if enough students enrol

Objectives and Content

The course is an introduction to ordinary cohomology of topological spaces.

The following topics are central:

Universal coefficient theorem, the cup product, Künneth theorem,
orientable manifolds, and Poincaré duality.

Learning Outcomes

The goal of the course is to give the students insight into basic ideas and methods of algebraic topology.

Required Previous Knowledge

The following qualifications are recommended: Approximately 70 ECTS in mathematics, including courses in real analysis, algebra and topology.

Recommended Previous Knowledge

MAT220, MAT242

Forms of Assessment

Oral examination

Grading Scale

The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.

Subject Overlap

MAT341: 5 ECTS