Course Archives    Theoretical Statistics and Mathematics Unit

Course: Topology I     Instructor: Jishnu Biswas     Time: Currently not offered     Room: Currently not offered Level: Ph. D Course

Syllabus Past Exams Syllabus 1. Topological Spaces: Topological spaces, Bases, Continuous maps, Subspaces, Quotient spaces, Products, Connectedness and Compactness. 2. Convergence: Nets, Filters, Limits; Convergence, Countability and Separation axioms. 3. Topological groups: Topological groups; Uniform structures, Products of Compact spaces; Compactifications. 4. Metrizability: Metrizability and Paracompactness, Complete Metric spaces and Function spaces. 5. Monodromy: Fundamental Group and Covering spaces.

[ Semester Schedule ][ SMU ] [Indian Statistical Institute]