1. Homotopy Theory
    1. Homotopy classes of maps
    2. Homotopy groups
    3. Homotopy and CW-complexes
  2. Fibrations
    1. Locally trivial fibrations
    2. Serre fibrations
    3. Structure Groups of Fiber Bundles
  3. Obstruction Theory and Classifying Spaces
    1. Obstruction Theory
    2. Characteristic Classes
    3. Classifying Spaces
    4. Obstruction Theory. take two
  4. Introduction to Spectral Sequences
    1. Algebraic Sectral Sequences
    2. Fibrations
    3. Homotopy groups of spheres