Differential Topology - Period 4 +5

Differential topology studies differentiable manifolds and differentiable functions from a topological viewpoint. In contrast to differential geometry properties arising from metrics are not studied, and in contrast to the general topology course, the spaces are restricted to nicely behaving manifolds. Studied properties of the manifolds are rather global than local. The classification of coverings can be seen as an alternative formulation of the fundamental theorem of Galois theory, allowing to derive an algebraic theorem from a topological perspective.

Vrije Universiteit Amsterdam (VU Amsterdam) awards credits based on the ECTS system. Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA?s recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.