Fixed point and duality theorems in algebraic topology

Contents: Roughly
the contents are the following:

- Introduction.
- Manifolds and orientation. Definitions and local homological properties.
- Cap product, statements of Poincare duality for compact and non-compact manifolds.
- Proof of the Poincare duality theorem.
- Lefschetz and Alexander duality theorem: statements and proofs.
- Examples and applications of the duality theorems.
- Lefschetz fixed point theorem, its proof and applications.
- Exercises.