Time and Place:
- Cohomology: definitions, Universal coefficient theorem, Orientation, Poincare duality, cap and cup products, cohomology ring, Kunneth formula
- Review of (Smooth manifolds, differential forms, orientability, Stokes theorem), degree of the map, Sard theorem, De-Rham cohomology.
- Isomorphism between De-Rham cohomology and singular cohomology.
- (If time permits) additional topics according to the instructor preferences