F11AT - AGQ: Algebraic Topology

Course leader(s):

Aims

This course covers several fundamental topics in Geometry & Topology, providing a solid and broad foundation to the subject and its interactions with algebra and analysis. The course discusses the fundamental group and covering spaces, homology and studies differentiable manifolds.

Syllabus

Learning outcomes

By the end of the course, students should be able to do the following:

Thoroughly understand the applications of topology to the local and global geometry of manifolds.
Solve problems involving homotopy groups, singular homology, and numerous functorial invariants of topological spaces.

Further details

Curriculum explorer: Click here

SCQF Level: 11

Credits: 15