In this course we will treat 2 important methods/techniques in topology and geometry: (1) singular homology, (2) sheaves and cohomology. Both are aimed at understanding the global properties of a topological space by analyzing how the space is built up out of simple pieces. We shall try to emphasise both formal/abstract properties and concrete examples. Part (1) will end with a discussion of the Brouwer fixpoint theorem in arbitrary dimension, and the hairy ball theorem.
Aantal college-uren
2
Tentaminering
Huiswerk en mondeling tentamen
Voorkennis
Algebra 1—3, Lineaire algebra 1—2, Topologie
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