Details of MA4104 (Autumn 2019)
| Level: 4 | Type: Theory | Credits: 4.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| MA4104 | Algebraic Topology | Md. Ali Zinna |
| Syllabus |
|---|
| Fundamental Group: Path homotopy, definition of fundamental group, covering spaces, path and homotopy lifting, fundamental group of S1, deformation retraction, Brouwers
20 fixed point theorem, Borsuk-Ulam theorem, van-Kampens theorem, fundamental group of surfaces, universal covering space, correspondence between covering spaces and subgroups of fundamental group. Homology Theory: Simplicial complexes and maps, homology groups, computation for surfaces, two definitions of Euler characteristic. |
| Prerequisite |
|---|
| Topology (MA3201). |
| References |
|---|
| Suggested Texts:
1. Hatcher, A., Algebraic Topology, Cambridge University Press. 2. Massey, W.S., A Basic Course in Algebraic Topology, Springer-Verlag. 3. Munkres, J.R., Elements of Algebraic Topology, Addison-Wesley. 4. Spanier, E.H., Algebraic Topology, Springer-Verlag. |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 1 | Not Allowed |
| 2 | IP | 3 | Core |
| 3 | IP | 5 | Not Allowed |
| 4 | MR | 1 | Not Allowed |
| 5 | MR | 3 | Not Allowed |
| 6 | MS | 7 | Elective |
| 7 | RS | 1 | Elective |
| 8 | RS | 2 | Elective |