7.5 credits cr.
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In topology we are concerned with geometric objects under continuous deformations - for instance we can continuously deform a coffee cup to a donut. A topology is an abstraction of the properties of metric spaces which are needed to define continuous functions.
The course covers foundations of general topology (topological spaces, continuity, compactness, connectedness, identification topologies), the fundamental group, classification of closed surfaces.
This is one of the courses in the basic block of our Master's Programme in Mathematics, but can also be taken as a free-standing course.
Replaces previous version
This course replaces MM7041 Topology. It covers the same material as MM7041 but we have updated the requirements for eligibility.
The course consists of one module.
Instruction consists of lectures and exercises.
The course is assessed through written examination.
A list of examiners can be found on
ScheduleThe schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.
Note that the course literature can be changed up to two months before the start of the course.
John M. Lee: Introduction to Topological Manifolds. Springer.
During your studies
You can find our course webpages on kurser.math.su.se.