MATH541 DIFFERENTIAL TOPOLOGY
Course Code: |
2360541 |
METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
ECTS Credit: |
8.0 |
Department: |
Mathematics |
Language of Instruction: |
English |
Level of Study: |
Graduate |
Course Coordinator: |
|
Offered Semester: |
Fall Semesters. |
Course Content
Manifolds and differentiable structures. Tangent Space. Vector bundles. Immersions, submersions, embeddings. Transversality. Sard's theorem. Whitney Embedding Theorem. The exponential map and tubular neighborhoods. Manifolds with boundary. Thom's tranversality Theorem.