Cohomology

Postgraduate course

Course description

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.

Semester of Instruction

Irregular, course will be offered if it is on this course list: Workbook: Emneliste for innreisende utvekslingsstudenter (uhad.no)

Required Previous Knowledge
The following qualifications are recommended: Approximately 70 ECTS in mathematics, including courses in real analysis, algebra and topology.
Recommended Previous Knowledge
Credit Reduction due to Course Overlap
MAT341: 5 ECTS
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.