406-2554-AAL Topology
Semester | Spring Semester 2016 |
Lecturers | W. Werner |
Periodicity | every semester recurring course |
Language of instruction | English |
Comment | Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. |
Abstract | Topological and metric spaces, continuity, connectedness, compactness, product and quotient spaces, separation axioms, quotient spaces, Baire category, homotopy, fundamental group, covering spaces. |
Objective | Cover the basic notions of set-theoretic topology. |
Literature | Klaus Jänich: Topologie (Springer) http://link.springer.com/book/10.1007/978-3-662-10575-7 Boto von Querenburg: Mengentheoretische Topologie (Springer) http://link.springer.com/book/10.1007/978-3-642-56860-2 Lynn Arthur Steen, J. Arthur Seebach Jr.: Counterexamples in Topology (Springer) http://link.springer.com/book/10.1007/978-1-4612-6290-9 Nicolas Bourbaki: Topologie Générale, chapitres 1 à 10 (Hermann, Paris) oder General Topology (Chapters 1-10) (Springer) Ryszard Engelking: General topology. Heldermann Verlag, Berlin, 1989. |
Prerequisites / Notice | The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. |