Functions, Cartesian Products, Finite sets, Countable and Uncountable Sets, Infinite Sets . The Axiom of Choice, Well-ordered Sets, The Maximum Principle, Topological Spaces, Basis for a Topology.

The Order Topology, The Product Topology on X ⨉ Y, The Subspace Topology. 

Closed Sets and Limit Points, Continuous Functions, The Product Topology. Connected Spaces, Connected Subspaces of the Real Line, Components and Local Connectedness. Compact Spaces, Compact Subspaces of the Real Line, Limit point compactness, Local Compactness.

1. J. Munkres, “Topology”; Prentice Hall, 2002, Second edition. 
2. G.F.Simmons, “Introdution to Topology and Modern Analysis” McGraw Hill Education-2004. 
3. S. Kumaresan, “Topology of Metric Spaces”; Narosa Publishing House, New Delhi, 2011Second Reprint.
4. J. Dugundji, “ Topology” Allyn and Bacon, Boston-1966