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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.