Algebraic Topology I (KSM3E02)
Syllabus
CW Complexes, The Fundamental Group, Basic Constructions, Paths and Homotopy, The Fundamental Group of the Circle, Induced Homomorphisms, Van Kampen’s Theorem, Free Products of Groups, Applications to Cell Complexes, Covering Spaces, Lifting Properties, The Classification of Covering Spaces, Deck Transformations and Group Actions.
Resources
- Algebraic Topology by Tammo tom Dieck
- Algebraic Topology by Allen Hatcher
- A Basic Course in Algebraic Topology by William Schumacher Massey
- A Concise Course in Algebraic Topology by Jon Peter May
- Topology by James Munkres
- Introduction to Topological Manifolds by John Marshall Lee
Please note that the remainder of the course will be taught by Dr. Pranav Haridas.
Office hours
Monday 16:00 - 17:30
Classes
Tuesday 12:00 - 13:00 Wednesday 12:00 - 13:00 Thursday 10:00 - 12:00
Course Breakdown
Daily Notes
Aug 20, 2026 (Thu)
Aug 19, 2026 (Wed)
Aug 18, 2026 (Tue)
Aug 13, 2026 (Thu)
Aug 11, 2026 (Tue)
Aug 06, 2026 (Thu)
Aug 05, 2026 (Wed)
Aug 04, 2026 (Tue)
Quizzes
Aug 20, 2026 (Thu)