INTRODUCTION TO ALGEBRAIC TOPOLOGY
The Fundamental group: Homotopy of maps, multiplication of paths, the fundamental group, induced homo-morphism, the fundamental group of the circle, covering space, lifting theorems, the universal covering space, Seifert Van Kampen theorem, applications. Simplicial complexes, simplical and singular- homology - definitions, properties and applications. Recommended Books
- Armstrong, M.A., Basic Topology, Springer (India), 2004.
- Hatcher, A., Algebraic Topology, Cambridge University Press, 2002.
- Kosniowski, C.A., First Course in Algebraic Topology, Cambridge Univ. Press, 1980.