Topology Lecture Notes

  1. Topological Spaces.
  2. Continuity and homeomorphisms.
  3. Products, quotients, and separation
  4. Connectedness and path-connectedness.
  5. Compactness
  6. More compactness
  7. Point set topology and fundamental group (pdf)
  8. Homotopy and basic differential topology (pdf)
  9. List of Lie groups (pdf)
  10. Homology theories (pdf)
  11. De Rham cohomology (pdf)
  12. Sheaf cohomology (pdf)