Pensum (Curriculum)

  • Here is an overview of the central topics and concepts: manifoldsoverview.pdf
  • Much of the contents can be found in the book of Baarden&Thomas, Chap.1 and 2, and Section 3.2 and 3.3.
  • However, the above text is rather brief and seems to be too demanding for our purpose, so we shall preferably refer to the book of Dundas, where we select the following chapters/sections :
    • B. Dundas : Differential Topology:
  • Chap.3, 4, 5, 6, 7, 9.1-9.4.
  • Chap.10 : basic general topology
  • Chap.11: Facts from analysis
  • An extra note on Riemannian geometry: riemgeomnote.pdf
  • The exercises selected for the practice sessions.
  • The lectures have covered the contents of the curriculum, but sometimes they have differed from the approach in the above text books. This does not matter, as long as the student learns to use and understand the concepts listed in the above overview.
2011-04-07, Eldar Straume