Skip to content
Main menu hidden.


  • Number of credits 7.5 credits
  • Level Bachelor's level
  • Starting Autumn Term 2023

About the course

The course covers the basic notions in set topology. Set topology is a big and important keystone in modern mathematics. From calculus in several variables, you should be acquainted with the three dimensional space and its distance notions. In topology, we distance ourselves from distance notions and real valued functions. Instead, we start from a collection of subsets to a given set. The elements of the collection are called open. By using these we build a theory for topological spaces and continuous functions. Classical continuity arguments can then be used in new and often unexpected situations. Some important types of topological spaces are for example compact and coherent topological spaces. Those properties can help us to decide if two topological spaces are topologically identical, i.e. if they are homomorphic. This will e.g. induce that a compact space can not be homomorphic with a non-compact space and a coherent space can not be homomorphic with non-coherent space. This course is mainly for students who like mathematical proofs and abstractions. For those who have not taken more than one course in calculus in several variables, an insight into the world of topology can be both refreshing and eye-opening.

Application and eligibility

Topology, 7.5 credits

Det finns inga tidigare terminer för kursen Autumn Term 2023 Det finns inga senare terminer för kursen


28 August 2023


30 October 2023

Study location



English (upon request)

Type of studies

Daytime, 50%

Required Knowledge

The course requires courses in Mathematics, minimum 60 ECTS or at least two years of university studies and both cases requires courses in Calculus, minimum 22,5 ECTS including a course in Multivariate Calculus minimum 7,5 ECTS, or equivalent.


Guaranteed place Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code



Application deadline was 17 April 2023. The application period is closed.

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

Please be aware that the University is a public authority and that what you write here can be included in an official document. Therefore, be careful if you are writing about sensitive or personal matters in this contact form. If you have such an enquiry, please call us instead. All data will be treated in accordance with the General Data Protection Regulation.

Course is given by
Dept. of Mathematics and Mathematical Statistics
Contactperson for the course is:
Study counselor Lars-Daniel Öhman