Exams after the reopening

As a general rule, exams will be conducted without physical attendance in the autumn of 2021, even after the reopening. See the semester page for information about the form of examination in your course. See also more information about examination at the MN Faculty in 2021.

Course content

The course gives an introduction to algebraic topology, with emphasis on the fundamental group and the singular homology groups of topological spaces.

Learning outcome

After having completed the course

  • you can work with cell complexes and the basic notions of homotopy theory
  • you know the construction of the fundamental group of a topological space, can use van Kampen´s theorem to calculate this group for cell complexes, and know the connection between covering spaces and the fundamental group
  • you can define the singular homology groups, and can prove their central properties, such as homotopy invariance, exactness and excision
  • you master the basic homological algebra associated to chain complexes and their homology, and can use simplicial and cellular homology to make effective calculations of homology groups
  • you understand enough category theory to give an axiomatic characterization of singular homology

Admission to the course

Students admitted at UiO must apply for courses in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.

Nordic citizens and applicants residing in the Nordic countries may apply to take this course as a single course student.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.

MAT3500 – Topology/MAT4500 – Topology. It may also be useful to have MAT4510 – Geometric Structures.

Overlapping courses

Teaching

4 hours of lectures/exercises per week.

The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.

Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.

Examination

Final oral exam which counts 100 % towards the final grade.

This course has 1 mandatory assignment that must be approved before you can sit the final exam.

It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MAT9530 – Algebraic Topology I

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English. You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Resit an examination

This course offers both postponed and resit of examination. Read more:

Special examination arrangements, use of sources, explanations and appeals

See more about examinations at UiO

Last updated from FS (Common Student System) Oct. 21, 2021 8:37:39 PM

Facts about this course

Credits
10
Level
Master
Teaching
Spring
Examination
Spring
Teaching language
English