Hatcher 3.1: Cohomology groups
- Singular cohomology; the axioms for a cohomology theory.
- The universal coefficient theorems for homology and cohomology; cellular homology and cohomology.
Hatcher 3.2: Cup product
- The cohomology ring; the Kuenneth theorem.
- Computations for tori, projective spaces.
Hatcher 3.3: Poincare duality
- Orientations.
- Cap product; the duality isomorphism.
- Computations in dimensions <=4.
Hatcher 4.3: Connections with cohomology
- The homotopy construction of cohomology.
Hatcher 4.L: Steenrod squares and powers
- Properties, applications and constructions.