MATS214 Topology (4 cr)

Topological spaces, relative topology, product topology, metrizable spaces, compact topological spaces

After passing the course the student:

• knows the concepts of a topological space, Hausdorff space, relative topology, product topology, and compact space
• know the Baire theorem and its applications
• can apply methods and proofs of the course to various problems
• has deepened his/her abilities to understand course related concepts in applications

Introduction to mathematical analysis 1 and 2, Vector analysis 1 and 2, Metric spaces

Applicable parts of J. Väisälä: Topology 2

J. Munkres: Topology (2nd ed.)