MA5140 INTRODUCTION TO ALGEBRAIC TOPOLOGY


Course Details

Some Basic Topological Notions: Homotopy, Convexity, Contractibility, Paths and Path Connectedness ; Fundamental group and Covering Spaces: The Fundamental Group of the circle, Induced Homomorphisms´┐Ż Free Products of Groups, Seifert Van Kampen's Theorem, Covering Spaces, Lifting Properties, The Classification of Covering Spaces, Deck Transformations and Group Actions.

Course References:

Books:
1. Allen Hatcher, Algebraic Topology, Cambridge University Press, New York 2002.
2. W. S. Massey, A Basic Course in Algebraic Topology, Graduate Texts in Mathematics 127, Springer Verlag, New York 1991.