In this program
- Singular cohomology
- Universal coefficient theorem (statement)
- Cup product
- Ring structure on cohomology
- Poincaré duality for closed oriented manifolds
- Künneth formula (introduction)
- Introduction to spectral sequences (optional)
Cohomology and duality
Poincaré duality for closed oriented manifolds
Algebraic topology · Theoretical / proof-based
Topic
Poincaré duality for closed oriented manifolds
Graduate Algebraic Topology — scope drawn from open algebraic topology notes and typical US graduate algebraic topology syllabi.