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406-2554-AAL  Topology

SemesterSpring Semester 2016
LecturersW. Werner
Periodicityevery semester recurring course
Language of instructionEnglish
CommentEnrolment 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.

AbstractTopological and metric spaces, continuity, connectedness, compactness, product and quotient spaces, separation axioms, quotient spaces, Baire category, homotopy, fundamental group, covering spaces.
ObjectiveCover the basic notions of set-theoretic topology.
LiteratureKlaus Jänich: Topologie (Springer)
Boto von Querenburg: Mengentheoretische Topologie (Springer)
Lynn Arthur Steen, J. Arthur Seebach Jr.: Counterexamples in Topology (Springer)
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 / NoticeThe precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.