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• Topological spaces: Introduction, Definition & Examples
• Limit Point, Interior Point, Closure, exterior and boundary of set: Definitions, Examples and related results
• Convergent sequences, Relative topology: Definitions, examples and related results
• Bases and sub-bases: Definitions, examples and related results
• Local bases, Continuous functions: Definitions, examples and related results
• Continuity and sequentially continuity at a point, Open and closed functions
• Homeomorphism: Definition, examples and related results
• First and second countable spaces: Definitions, examples and related results
• Mid Term Exam
• Lindelof's Theorems, separability
• Separation axioms: T_0. T_1 and T_2 spaces
• Regular and normal spaces: Definitions, examples and related results
• Functions that separate points, Completely regular spaces, Tychonoff spaces
• Compact sets: Definition, examples and related results
• Subsets of compact spaces, sequentially compact sets
• Product spaces: Definition, examples and related results
• Connectedness: Definition, examples and related results
• Final Term Exam