Integrated MSc-PhD Program

SYLLABUS

KSM3E02: Algebraic Topology – I

Cell 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, The van Kampen Theorem, Applications to Cell Complexes, Covering Spaces, Lifting Properties, The Classification of Covering Spaces, Deck Transformations and Group Actions.

Suggested texts:

1. 1. 1. 1. 1. 1. Algebraic Topology – Alen Hatcher
               2. Algebraic Topology: An Introduction – William S. Massey