WiSe 21/22: Proseminar/Seminar: Selected topics in Topology I
Pavle Blagojevic
Additional information / Pre-requisites
In order to successful participate in this course it is recommended for the students to have some basic knowledge in Topology. Appropriate and complete literature for each of the topics will be provided.
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In the Pro seminar Topology I topics complementary to the course Topology I will be discussed. In particular, we will talk about:
— Nets: Moore-Smith convergence
— Locally compact spaces
— Paracompact spaces
— Countability axioms
— Baire’s category theorem
— Urysohn’s lemma
— Urysohn’s metrication theorem
— Tietze’s extension theorem
— Tychonov’s theorem for infinite products
— Compact open topology
— Compactly generates spaces
— Weak Haussdorf spaces
— Noetherian spaces
— Topological manifolds
— Partition of unity and imbedding of manifold
— Cantor set and Peano curves
— Topology of SO(3)
— Fiber bundles
— Simplicial sets
— Classification of compact surfaces
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16 Class schedule
Regular appointments