ΓΕ4 - Differential Topology
Syllabus
- Homology and cohomology.
- Betti numbers.
- Attaching and gluing manifolds.
- Morse functions.
- Sard’s Theorem.
- Passing through a critical value.
- Regular interval theorem.
- CW decomposition of manifolds.
- Morse inequalities.
- Total curvature and Gauss maps.