Topology II (V3D2/F4D1)

Sommersemester 2018

Lecturer Dr. Irakli Patchkoria (Email: irpatchk (add ''at''math.uni-bonn.de))
Assistent Dr. Christian Wimmer (Email: wimmer (add ''at''math.uni-bonn.de))
Time and Place Mondays, 10:15-12:00 in Zeichensaal (Wegelerstr. 10)
Wednesdays, 8:15-10:00 in Kleiner Hörsaal (Wegelerstr. 10)



Topics

These lectures will cover some classical topics in Topology. We will continue studying cohomology and higher homotopy groups which were introduced in Topology I. The main topics of the lectures are: Poincaré duality and its applications, Hurewicz theorem, the theory of fibrations. There will be a lot of focus on examples and computations.



Literature

  • A. Hatcher, Algebraic Topology
  • J. Milnor and J. Stasheff, Characteristic Classes (Princeton University press)
  • G. Bredon, Topology and Geometry (Springer)
  • S. Schwede, Kohomologie
  • F. Waldhausen, Algebraische Topologie II
  • A. Dold, Lectures on Algebraic Topology (Springer)


  • Exams

    There will be oral exams in the last week of the Semester (16.07 to 20.07). Requirements for admission to the exams are:
  • At least half of the credits from the exercise sheets
  • Having presented at least two exercises on the blackboard during the exercise sessions

  • The second exams will take place on September 27-28th.

    Exercises

    There will be two exercise groups and each group will meet once a week:
  • Group I (Thorben Kastenholz) : Tuesday 10:15-12:00 in SR 0.006
  • Group II (Michael Stahlhauer) : Friday 12:15-14:00 in SR 0.006

  • The exercise classes will start in the second week (the first sessions will be on 17.04 and 20.04).

    The new exercise sheets will be available here for download on Fridays. The completed exercises have to be handed in 10 days later before the Monday lecture. Exercise sheets may be handed in jointly by at most three students.

  • Exercises 1
  • Exercises 2
  • Exercises 3
  • Exercises 4
  • Exercises 5
  • Exercises 6
  • Exercises 7
  • Exercises 8
  • Exercises 9