Department Mathematik
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Prof. Dr. Markus Land

Mathematisches Institut der Universität München
Theresienstr. 39
D-80333 München

Email: Markus.Land@mathematik.uni-muenchen.de

Tel:   +49 (0)89   2180 4415
Fax:  +49 (0)89   2180 4466
Büro: Block B, 4. Stock, 416

Arbeitsgruppe Algebraische Geometrie






Topology IV (SS 2025)


  • Time and place: Lectures: Tu, 10-12 ct (Room B 251)
    Exercises: Fr, 12-14 (B 251)

    The first lecture will be April 29, the first exercise Session May 2. There will be a Moodle website soon.
  • ECTS: You can get 3 or 6 ECTS via WP13, WP16, WP40, WP41, WP42 (Module Handbook 2021, Master Mathematics)
  • Exam: This will be an oral exam, most likely in the first week after the winter term ends.
  • Retake Exam: This will be an oral exam, most like in the first week before the summer term starts.
  • Contents: Further classical results in algebraic topology, manifolds and characteristic classes, Serre spectral sequence, homotopy groups of spheres.
  • Audience: The course is intended for masters students in mathematics or physics. Of course, everyone who is interested is welcome to attend.
  • Language: The course will be taught in English.
  • Prerequisites: Topology I, Topology II, Topology III.
  • References: References accompanying the course are
    • T. tom Dieck, Topologie, De Gruyter.
    • J. Munkres, Topology, Pearson.
    • A. Hatcher, Algebraic Topology, Cambridge University Press.
    • G. E. Bredon, Topology and Geometry Springer Verlag.
    • W.S. Massey, A Basic Course in Algebraic Topology, Springer Verlag.
    • J.P. May, A Concise Course in Algebraic Topology, University of Chicago Press.
The lecture notes of this and the previous courses are available here: