Number of credits: 8 hp
Examiner: Axel Hultman
Course literature: J. Matoušek, Using the Borsuk-Ulam Theorem, Springer, 2003. Freely downloadable material and handouts.
Course contents: Versions of the Borsuk-Ulam theorem with applications to combinatorics. Theory of simplicial and cellular complexes. Combinatorial methods (shellability, discrete Morse theory, nerve lemmas, fiber lemmas, etc.) for computing topological invariants. Classical examples of combinatorially defined cell complexes and their toplogical properties.
Examination: Homework assignments. Literature project.
Prerequisites: Basic abstract algebra and discrete mathematics. Having taken a course in topology is desirable but not a strict requirement.
Last updated: 2022-11-15