MATH537 ALGEBRAIC TOPOLOGY I
| Course Code: |
2360537 |
| 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: |
Prof.Dr. YILDIRAY OZAN |
| Offered Semester: |
Fall Semesters. |
Course Content
Fundamental group. Van Kampen’s Theorem. covering spaces. Singular homology: Homotopy invariance. homology long exact sequence. Mayer-Vietoris sequence. excision. Cellular homology. Homology with coefficients. Simplicial homology and the equivalence of simplicial and singular homology. Axioms of homology. Homology and fundamental groups. Simplicial approximation. Applications of homology.
