250084 VO Topics VO Geometry and Topology 4/6 (2016S)

Presupposing only moderate knowledge of general topology (corresponding to the standard introductory courses), this lecture course introduces more advanced topics of set-theoretical topology. In particular, the following topics will be addressed: initial and final topologies, glueing, filters and convergence, normal spaces, compact spaces, the Stone-Weierstrass theorem, paracompact spaces and metrization, topological manifolds, uniform spaces, completion and compactification, function spaces.