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• Topology Definition and Examples
• Accumulation points, Close Sets
• Interior, Exterior and boundary
• Neighborhoods
• Convergent Sequences
• Convergent Sequences
• Coarser and Finer Topologies
• Subspaces, Relative Topologies and Equivalent Definitions of topology
• Base for a Topology definition and examples
• Mid Term Exam
• Sub-base and Local Base Continuous Functions
• Continuity at a point
• Open and close functions, Homeomorphic spaces
• First Countable Space, Second Countable Space
• Separable Space, Separation axioms (T0, T1, T2), Techonoff space
• Regular spaces, completely regular spaces, normal spaces
• compact spaces, connected spaces
• Final Term Exam