Instructor: Dr. András STIPSICZ
Text: class notes
Prerequisites: solid knowledge of general topology and abstract algebra
Topics covered:

  1. Simplicial and singular homologies and cohomologies.
  2. CW complexes and CW homologies.
  3. Homotopy groups.
  4. Obstructions of extendability of continuous functions.
  5. Principal bundles and vector bundles.
  6. Characteristic classes, Chern classes and Stiefel-Whitney classes.