Some Basic Topological Notions: Homotopy, Convexity, Contractibility,
Paths and Path Connectedness Íž Fundamental group and Covering
Spaces: The Fundamental Group of the circle, Induced Homomorphisms,
Free Products of Groups, Seifert Van Kampen's Theorem, Covering
Spaces, Lifting Properties, The Classification of Covering Spaces, Deck
Transformations and Group Actions, Singular Complexes and Homology
Functions, Homotopy Invariance, Exact Homology sequences, reduced
homology, Excision and Mayer-Victoris sequences, Axioms for Homology.
- Teacher: suhas Suhas Jaykumar Pandit