Details of MA4104 (Autumn 2019)

Level: 4 Type: Theory Credits: 4.0

Course CodeCourse NameInstructor(s)
MA4104 Algebraic Topology Md. Ali Zinna

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.

Topology (MA3201).

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.ProgrammeSemester NoCourse 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