TOPOLOGY - II
Point Set Topology: Continuous functions, metric topology, connectedness, path connectedness, compactness, countability axioms, separation axioms, complete metric spaces, function spaces, quotient topology, topological groups, orbit spaces. The fundamental group: Homotopy of maps, multiplication of paths, the fundamental group, induced homomorphisms, the fundamental group of the circle, covering spaces, lifting theorems, the universal covering space, Seifert-Van Kampen theorem, applications.
Books
- Armstrong, M. A., Basic Topology, Springer (India), 2004.
- Hatcher, A., Algebraic Topology, Cambridge Univ. Press, 2002.
- Janich, K., Topology, Springer-Verlag (UTM), 1984.
- Kosniowski, C., A First Course in Algebraic Topology, Cambridge Univ. Press, 1980.
- Munkres, K. R., Topology, Pearson Education, 2005.
— — TOPOLOGY - II
Point Set Topology: Continuous functions, metric topology, connectedness, path connectedness, compactness, countability axioms, separation axioms, complete metric spaces, function spaces, quotient topology, topological groups, orbit spaces. The fundamental group: Homotopy of maps, multiplication of paths, the fundamental group, induced homomorphisms, the fundamental group of the circle, covering spaces, lifting theorems, the universal covering space, Seifert-Van Kampen theorem, applications.
Books
- Armstrong, M. A., Basic Topology, Springer (India), 2004.
- Hatcher, A., Algebraic Topology, Cambridge Univ. Press, 2002.
- Janich, K., Topology, Springer-Verlag (UTM), 1984.
- Kosniowski, C., A First Course in Algebraic Topology, Cambridge Univ. Press, 1980.
- Munkres, K. R., Topology, Pearson Education, 2005.