TOPOLOGY
Open and closed sets, continuous functions, the metric topology, the product topology, the ordered topology, the quotient topology. Connectedness and path connectedness, local path connectedness. Compactness. Countability axioms. Separation axioms. Complete metric spaces, the Baire category theorem. Urysohn�s embedding theorem. Function. Topological groups, orbit spaces. Recommended Books
- Armstrong, M. A., Basic Topology, Springer (India), 2004.
- Janich, K., Topology, Springer-Verlag (UTM), 1984.
- Munkres, K. R., Topology,Pearson Education, 2005.
- Simmons, G. F., Topology and Modern Analysis, McGraw-Hill, 1963.