Name | Dr. Wendelin Werner |
URL | http://www.math.ethz.ch/~wewerner |
Department | Mathematics |
Relationship | Full Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-2554-00L | Topology | 6 credits | 3V + 2U | P. D. Nelson, W. Werner | |
Abstract | Topics covered include: Topological and metric spaces, continuity, connectedness, compactness, product spaces, separation axioms, quotient spaces, homotopy, fundamental group, covering spaces. | ||||
Objective | An introduction to topology i.e. the domain of mathematics that studies how to define the notion of continuity on a mathematical structure, and how to use it to study and classify these structures. | ||||
Lecture notes | See: https://www2.math.ethz.ch/education/bachelor/lectures/fs2016/math/topo | ||||
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 | ||||
401-5000-00L | Zurich Colloquium in Mathematics | 0 credits | W. Werner, P. L. Bühlmann, M. Burger, S. Mishra, R. Pandharipande, University lecturers | ||
Abstract | |||||
Objective | |||||
401-5600-00L | Seminar on Stochastic Processes | 0 credits | 1K | J. Bertoin, A. Knowles, A. Nikeghbali, P. Nolin, B. D. Schlein, A.‑S. Sznitman, W. Werner | |
Abstract | Research colloquium | ||||
Objective | |||||
406-2554-AAL | Topology 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. | 6 credits | 13R | W. Werner | |
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. |